[{"status":"public","abstract":[{"lang":"eng","text":"We propose a definition of Coxeter-Dynkin algebras of canonical type generalising the definition as a path algebra of a quiver. Moreover, we construct two tilting objects over the squid algebra - one via generalised APR-tilting and one via one-point-extensions and reflection functors - and identify their endomorphism algebras with the Coxeter-Dynkin algebra. This shows that our definition gives another representative in the derived equivalence class of the squid algebra, and hence of the corresponding canonical algebra. Finally, we have a closer look at the Grothendieck group and the Euler form which illustrates the connection to Saito's classification of marked extended affine root systems. On the other hand, this enables us to prove that in the domestic case Coxeter-Dynkin algebras are of finite representation type."}],"type":"preprint","language":[{"iso":"eng"}],"user_id":"64242","department":[{"_id":"602"}],"_id":"63135","external_id":{"arxiv":["2509.17887"]},"citation":{"chicago":"Perniok, Daniel. “Coxeter-Dynkin Algebras of Canonical Type,” 2025.","ieee":"D. Perniok, “Coxeter-Dynkin algebras of canonical type.” 2025.","ama":"Perniok D. Coxeter-Dynkin algebras of canonical type. Published online 2025.","apa":"Perniok, D. (2025). <i>Coxeter-Dynkin algebras of canonical type</i>.","short":"D. Perniok, (2025).","bibtex":"@article{Perniok_2025, title={Coxeter-Dynkin algebras of canonical type}, author={Perniok, Daniel}, year={2025} }","mla":"Perniok, Daniel. <i>Coxeter-Dynkin Algebras of Canonical Type</i>. 2025."},"year":"2025","title":"Coxeter-Dynkin algebras of canonical type","date_created":"2025-12-16T14:20:09Z","author":[{"last_name":"Perniok","id":"64242","full_name":"Perniok, Daniel","first_name":"Daniel"}],"date_updated":"2026-01-16T09:10:48Z"},{"status":"public","abstract":[{"lang":"eng","text":"In this paper, we study equivalences between the categories of quasi–coherent sheaves on non–commutative noetherian schemes. In particular, we give a new proof of Căldăraru's conjecture about Morita equivalences of Azumaya algebras on noetherian schemes. Moreover, we derive necessary and sufficient condition for two reduced non–commutative curves to be Morita equivalent."}],"publication":"Advances in Mathematics","type":"journal_article","language":[{"iso":"eng"}],"article_number":"108273","department":[{"_id":"602"}],"user_id":"49063","_id":"44328","intvolume":"       399","citation":{"ama":"Burban I, Drozd Yu. Morita theory for non-commutative noetherian schemes. <i>Advances in Mathematics</i>. 2022;399. doi:<a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>","chicago":"Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” <i>Advances in Mathematics</i> 399 (2022). <a href=\"https://doi.org/10.1016/j.aim.2022.108273\">https://doi.org/10.1016/j.aim.2022.108273</a>.","ieee":"I. Burban and Yu. Drozd, “Morita theory for non-commutative noetherian schemes,” <i>Advances in Mathematics</i>, vol. 399, Art. no. 108273, 2022, doi: <a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>.","apa":"Burban, I., &#38; Drozd, Yu. (2022). Morita theory for non-commutative noetherian schemes. <i>Advances in Mathematics</i>, <i>399</i>, Article 108273. <a href=\"https://doi.org/10.1016/j.aim.2022.108273\">https://doi.org/10.1016/j.aim.2022.108273</a>","mla":"Burban, Igor, and Yu. Drozd. “Morita Theory for Non-Commutative Noetherian Schemes.” <i>Advances in Mathematics</i>, vol. 399, 108273, 2022, doi:<a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>.","short":"I. Burban, Yu. Drozd, Advances in Mathematics 399 (2022).","bibtex":"@article{Burban_Drozd_2022, title={Morita theory for non-commutative noetherian schemes}, volume={399}, DOI={<a href=\"https://doi.org/10.1016/j.aim.2022.108273\">10.1016/j.aim.2022.108273</a>}, number={108273}, journal={Advances in Mathematics}, author={Burban, Igor and Drozd, Yu.}, year={2022} }"},"year":"2022","publication_status":"published","doi":"10.1016/j.aim.2022.108273","title":"Morita theory for non-commutative noetherian schemes","volume":399,"author":[{"first_name":"Igor","id":"72064","full_name":"Burban, Igor","last_name":"Burban"},{"last_name":"Drozd","full_name":"Drozd, Yu.","first_name":"Yu."}],"date_created":"2023-05-02T18:34:25Z","date_updated":"2023-05-07T01:35:27Z"},{"title":"A classification of polyharmonic Maa forms via quiver representations","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2207.02278"}],"date_updated":"2023-05-07T01:37:00Z","date_created":"2023-05-07T00:54:50Z","author":[{"first_name":"Igor","full_name":"Burban, Igor","id":"72064","last_name":"Burban"},{"first_name":"C.","full_name":"Alfes-Neumann, C.","last_name":"Alfes-Neumann"},{"first_name":"M.","last_name":"Raum","full_name":"Raum, M."}],"year":"2022","citation":{"chicago":"Burban, Igor, C. Alfes-Neumann, and M. Raum. “A Classification of Polyharmonic Maa Forms via Quiver Representations,” 2022.","ieee":"I. Burban, C. Alfes-Neumann, and M. Raum, “A classification of polyharmonic Maa forms via quiver representations.” 2022.","ama":"Burban I, Alfes-Neumann C, Raum M. A classification of polyharmonic Maa forms via quiver representations. Published online 2022.","apa":"Burban, I., Alfes-Neumann, C., &#38; Raum, M. (2022). <i>A classification of polyharmonic Maa forms via quiver representations</i>.","mla":"Burban, Igor, et al. <i>A Classification of Polyharmonic Maa Forms via Quiver Representations</i>. 2022.","short":"I. Burban, C. Alfes-Neumann, M. Raum, (2022).","bibtex":"@article{Burban_Alfes-Neumann_Raum_2022, title={A classification of polyharmonic Maa forms via quiver representations}, author={Burban, Igor and Alfes-Neumann, C. and Raum, M.}, year={2022} }"},"publication_status":"published","language":[{"iso":"eng"}],"_id":"44537","department":[{"_id":"602"}],"user_id":"49063","status":"public","type":"preprint"},{"citation":{"ieee":"I. Burban and A. Peruzzi, “On elliptic solutions of the associative Yang-Baxter equation,” <i>Journal of Geometry and Physics</i>, vol. 176, Art. no. 104499, 2022.","chicago":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” <i>Journal of Geometry and Physics</i> 176 (2022).","ama":"Burban I, Peruzzi A. On elliptic solutions of the associative Yang-Baxter equation. <i>Journal of Geometry and Physics</i>. 2022;176.","apa":"Burban, I., &#38; Peruzzi, A. (2022). On elliptic solutions of the associative Yang-Baxter equation. <i>Journal of Geometry and Physics</i>, <i>176</i>, Article 104499.","short":"I. Burban, A. Peruzzi, Journal of Geometry and Physics 176 (2022).","bibtex":"@article{Burban_Peruzzi_2022, title={On elliptic solutions of the associative Yang-Baxter equation}, volume={176}, number={104499}, journal={Journal of Geometry and Physics}, author={Burban, Igor and Peruzzi, A.}, year={2022} }","mla":"Burban, Igor, and A. Peruzzi. “On Elliptic Solutions of the Associative Yang-Baxter Equation.” <i>Journal of Geometry and Physics</i>, vol. 176, 104499, 2022."},"intvolume":"       176","year":"2022","publication_status":"published","title":"On elliptic solutions of the associative Yang-Baxter equation","author":[{"first_name":"Igor","last_name":"Burban","id":"72064","full_name":"Burban, Igor"},{"last_name":"Peruzzi","full_name":"Peruzzi, A.","first_name":"A."}],"date_created":"2023-05-02T18:32:49Z","volume":176,"date_updated":"2023-05-07T01:41:35Z","status":"public","type":"journal_article","publication":"Journal of Geometry and Physics","language":[{"iso":"eng"}],"article_number":"104499","user_id":"49063","department":[{"_id":"602"}],"_id":"44327"},{"language":[{"iso":"eng"}],"_id":"44329","department":[{"_id":"602"}],"user_id":"49063","abstract":[{"lang":"eng","text":"This paper is devoted to algebro-geometric study of infinite dimensional Lie bialgebras, which arise from solutions of the classical Yang–Baxter equation. We regard trigonometric solutions of this equation as twists of the standard Lie bialgebra cobracket on an appropriate affine Lie algebra and work out the corresponding theory of Manin triples, putting it into an algebro-geometric context. As a consequence of this approach, we prove that any trigonometric solution of the classical Yang–Baxter equation arises from an appropriate algebro-geometric datum. The developed theory is illustrated by some concrete examples."}],"status":"public","publication":"Communications in Mathematical Physics","type":"journal_article","title":"Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation","doi":"10.1007/s00220-021-04188-7","date_updated":"2023-05-07T01:35:11Z","volume":387,"author":[{"last_name":"Burban","id":"72064","full_name":"Burban, Igor","first_name":"Igor"},{"first_name":"R.","last_name":"Abedin","full_name":"Abedin, R."}],"date_created":"2023-05-02T18:36:54Z","year":"2021","page":"1051–1109","intvolume":"       387","citation":{"bibtex":"@article{Burban_Abedin_2021, title={Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation}, volume={387}, DOI={<a href=\"https://doi.org/10.1007/s00220-021-04188-7\">10.1007/s00220-021-04188-7</a>}, number={2}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Abedin, R.}, year={2021}, pages={1051–1109} }","short":"I. Burban, R. Abedin, Communications in Mathematical Physics 387 (2021) 1051–1109.","mla":"Burban, Igor, and R. Abedin. “Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang-Baxter Equation.” <i>Communications in Mathematical Physics</i>, vol. 387, no. 2, 2021, pp. 1051–1109, doi:<a href=\"https://doi.org/10.1007/s00220-021-04188-7\">10.1007/s00220-021-04188-7</a>.","apa":"Burban, I., &#38; Abedin, R. (2021). Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. <i>Communications in Mathematical Physics</i>, <i>387</i>(2), 1051–1109. <a href=\"https://doi.org/10.1007/s00220-021-04188-7\">https://doi.org/10.1007/s00220-021-04188-7</a>","ieee":"I. Burban and R. Abedin, “Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation,” <i>Communications in Mathematical Physics</i>, vol. 387, no. 2, pp. 1051–1109, 2021, doi: <a href=\"https://doi.org/10.1007/s00220-021-04188-7\">10.1007/s00220-021-04188-7</a>.","chicago":"Burban, Igor, and R. Abedin. “Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang-Baxter Equation.” <i>Communications in Mathematical Physics</i> 387, no. 2 (2021): 1051–1109. <a href=\"https://doi.org/10.1007/s00220-021-04188-7\">https://doi.org/10.1007/s00220-021-04188-7</a>.","ama":"Burban I, Abedin R. Algebraic geometry of Lie bialgebras defined by solutions of the classical Yang-Baxter equation. <i>Communications in Mathematical Physics</i>. 2021;387(2):1051–1109. doi:<a href=\"https://doi.org/10.1007/s00220-021-04188-7\">10.1007/s00220-021-04188-7</a>"},"publication_status":"published","issue":"2"},{"doi":"10.1112/plms.12341","title":"Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems","volume":121,"author":[{"id":"72064","full_name":"Burban, Igor","last_name":"Burban","first_name":"Igor"},{"first_name":"A.","full_name":"Zheglov, A.","last_name":"Zheglov"}],"date_created":"2023-05-02T18:47:19Z","date_updated":"2023-05-07T01:30:54Z","intvolume":"       121","page":"1033–1082","citation":{"ieee":"I. Burban and A. Zheglov, “Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems,” <i>Proceedings of the London Mathematical Society</i>, vol. 121, no. 4, pp. 1033–1082, 2020, doi: <a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>.","chicago":"Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar Quasi-Invariants and Calogero-Moser Systems.” <i>Proceedings of the London Mathematical Society</i> 121, no. 4 (2020): 1033–1082. <a href=\"https://doi.org/10.1112/plms.12341\">https://doi.org/10.1112/plms.12341</a>.","ama":"Burban I, Zheglov A. Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. <i>Proceedings of the London Mathematical Society</i>. 2020;121(4):1033–1082. doi:<a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>","mla":"Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar Quasi-Invariants and Calogero-Moser Systems.” <i>Proceedings of the London Mathematical Society</i>, vol. 121, no. 4, 2020, pp. 1033–1082, doi:<a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>.","short":"I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082.","bibtex":"@article{Burban_Zheglov_2020, title={Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems}, volume={121}, DOI={<a href=\"https://doi.org/10.1112/plms.12341\">10.1112/plms.12341</a>}, number={4}, journal={Proceedings of the London Mathematical Society}, author={Burban, Igor and Zheglov, A.}, year={2020}, pages={1033–1082} }","apa":"Burban, I., &#38; Zheglov, A. (2020). Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. <i>Proceedings of the London Mathematical Society</i>, <i>121</i>(4), 1033–1082. <a href=\"https://doi.org/10.1112/plms.12341\">https://doi.org/10.1112/plms.12341</a>"},"year":"2020","issue":"4","publication_status":"published","language":[{"iso":"eng"}],"department":[{"_id":"602"}],"user_id":"49063","_id":"44331","status":"public","abstract":[{"lang":"eng","text":"In this paper, we study properties of the algebras of planar quasi-invariants. These algebras are Cohen–Macaulay and Gorenstein in codimension one. Using the technique of matrix problems, we classify all Cohen–Macaulay modules of rank one over them and determine their Picard groups. In terms of this classification, we describe the spectral modules of the planar rational Calogero–Moser systems. Finally, we elaborate the theory of the algebraic inverse scattering method, providing explicit computations of some ‘isospectral deformations’ of the planar rational Calogero–Moser system in the case of the split rational potential."}],"publication":"Proceedings of the London Mathematical Society","type":"journal_article"},{"issue":"1","publication_status":"published","citation":{"ama":"Burban I, Galinat L. Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. <i>Communications in Mathematical Physics</i>. 2018;364(1):123–169. doi:<a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>","chicago":"Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic Curves and the Classical Yang-Baxter Equation.” <i>Communications in Mathematical Physics</i> 364, no. 1 (2018): 123–169. <a href=\"https://doi.org/10.1007/s00220-018-3172-2\">https://doi.org/10.1007/s00220-018-3172-2</a>.","ieee":"I. Burban and L. Galinat, “Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation,” <i>Communications in Mathematical Physics</i>, vol. 364, no. 1, pp. 123–169, 2018, doi: <a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>.","mla":"Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic Curves and the Classical Yang-Baxter Equation.” <i>Communications in Mathematical Physics</i>, vol. 364, no. 1, 2018, pp. 123–169, doi:<a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>.","short":"I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169.","bibtex":"@article{Burban_Galinat_2018, title={Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation}, volume={364}, DOI={<a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>}, number={1}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Galinat, L.}, year={2018}, pages={123–169} }","apa":"Burban, I., &#38; Galinat, L. (2018). Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. <i>Communications in Mathematical Physics</i>, <i>364</i>(1), 123–169. <a href=\"https://doi.org/10.1007/s00220-018-3172-2\">https://doi.org/10.1007/s00220-018-3172-2</a>"},"intvolume":"       364","page":"123–169","year":"2018","author":[{"full_name":"Burban, Igor","id":"72064","last_name":"Burban","first_name":"Igor"},{"last_name":"Galinat","full_name":"Galinat, L.","first_name":"L."}],"date_created":"2023-05-02T18:50:35Z","volume":364,"date_updated":"2023-05-07T01:34:43Z","doi":"10.1007/s00220-018-3172-2","title":"Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation","type":"journal_article","publication":"Communications in Mathematical Physics","status":"public","abstract":[{"text":"This work deals with an algebro–geometric theory of solutions of the classical Yang–Baxter equation based on torsion free coherent sheaves of Lie algebras on Weierstraß cubic curves.","lang":"eng"}],"user_id":"49063","department":[{"_id":"602"}],"_id":"44333","language":[{"iso":"eng"}]},{"citation":{"apa":"Burban, I., &#38; Drozd, Yu. (2018). <i>Non-commutative nodal curves and derived tame algebras</i>.","short":"I. Burban, Yu. Drozd, (2018).","bibtex":"@article{Burban_Drozd_2018, title={Non-commutative nodal curves and derived tame algebras}, author={Burban, Igor and Drozd, Yu.}, year={2018} }","mla":"Burban, Igor, and Yu. Drozd. <i>Non-Commutative Nodal Curves and Derived Tame Algebras</i>. 2018.","chicago":"Burban, Igor, and Yu. Drozd. “Non-Commutative Nodal Curves and Derived Tame Algebras,” 2018.","ieee":"I. Burban and Yu. Drozd, “Non-commutative nodal curves and derived tame algebras.” 2018.","ama":"Burban I, Drozd Yu. Non-commutative nodal curves and derived tame algebras. Published online 2018."},"year":"2018","publication_status":"published","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1805.05174"}],"title":"Non-commutative nodal curves and derived tame algebras","author":[{"first_name":"Igor","full_name":"Burban, Igor","id":"72064","last_name":"Burban"},{"full_name":"Drozd, Yu.","last_name":"Drozd","first_name":"Yu."}],"date_created":"2023-05-07T00:56:31Z","date_updated":"2023-05-07T01:36:42Z","status":"public","type":"preprint","language":[{"iso":"eng"}],"user_id":"49063","department":[{"_id":"602"}],"_id":"44538"},{"language":[{"iso":"eng"}],"article_number":"1850064-46 pp","department":[{"_id":"602"}],"user_id":"49063","_id":"44332","status":"public","publication":"International Journal of Mathematics","type":"journal_article","title":"Fourier-Mukai transform on Weierstraß cubics and commuting differential operators","volume":29,"date_created":"2023-05-02T18:49:12Z","author":[{"last_name":"Burban","full_name":"Burban, Igor","id":"72064","first_name":"Igor"},{"first_name":"A.","last_name":"Zheglov","full_name":"Zheglov, A."}],"date_updated":"2023-05-07T01:41:27Z","intvolume":"        29","citation":{"chicago":"Burban, Igor, and A. Zheglov. “Fourier-Mukai Transform on Weierstraß Cubics and Commuting Differential Operators.” <i>International Journal of Mathematics</i> 29, no. 10 (2018).","ieee":"I. Burban and A. Zheglov, “Fourier-Mukai transform on Weierstraß cubics and commuting differential operators,” <i>International Journal of Mathematics</i>, vol. 29, no. 10, Art. no. 1850064–46 pp, 2018.","ama":"Burban I, Zheglov A. Fourier-Mukai transform on Weierstraß cubics and commuting differential operators. <i>International Journal of Mathematics</i>. 2018;29(10).","bibtex":"@article{Burban_Zheglov_2018, title={Fourier-Mukai transform on Weierstraß cubics and commuting differential operators}, volume={29}, number={101850064–46 pp}, journal={International Journal of Mathematics}, author={Burban, Igor and Zheglov, A.}, year={2018} }","mla":"Burban, Igor, and A. Zheglov. “Fourier-Mukai Transform on Weierstraß Cubics and Commuting Differential Operators.” <i>International Journal of Mathematics</i>, vol. 29, no. 10, 1850064-46 pp, 2018.","short":"I. Burban, A. Zheglov, International Journal of Mathematics 29 (2018).","apa":"Burban, I., &#38; Zheglov, A. (2018). Fourier-Mukai transform on Weierstraß cubics and commuting differential operators. <i>International Journal of Mathematics</i>, <i>29</i>(10), Article 1850064- 46 pp."},"year":"2018","issue":"10","publication_status":"published"},{"volume":248,"date_created":"2023-05-02T18:59:05Z","author":[{"first_name":"Igor","last_name":"Burban","id":"72064","full_name":"Burban, Igor"},{"first_name":"Yu.","full_name":"Drozd, Yu.","last_name":"Drozd"}],"date_updated":"2023-05-07T01:33:37Z","doi":"10.1090/memo/1178","title":"Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems","edition":"1178","publication_identifier":{"isbn":["978-1-4704-2537-1"]},"publication_status":"published","intvolume":"       248","citation":{"apa":"Burban, I., &#38; Drozd, Yu. (2017). <i>Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems</i> (1178th ed., Vol. 248). <a href=\"https://doi.org/10.1090/memo/1178\">https://doi.org/10.1090/memo/1178</a>","mla":"Burban, Igor, and Yu. Drozd. <i>Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems</i>. 1178th ed., vol. 248, 2017, doi:<a href=\"https://doi.org/10.1090/memo/1178\">10.1090/memo/1178</a>.","bibtex":"@book{Burban_Drozd_2017, edition={1178}, series={Memoirs of the American Mathematical Society}, title={Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems}, volume={248}, DOI={<a href=\"https://doi.org/10.1090/memo/1178\">10.1090/memo/1178</a>}, author={Burban, Igor and Drozd, Yu.}, year={2017}, collection={Memoirs of the American Mathematical Society} }","short":"I. Burban, Yu. Drozd, Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems, 1178th ed., 2017.","ama":"Burban I, Drozd Yu. <i>Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems</i>. Vol 248. 1178th ed.; 2017. doi:<a href=\"https://doi.org/10.1090/memo/1178\">10.1090/memo/1178</a>","ieee":"I. Burban and Yu. Drozd, <i>Maximal Cohen-Macaulay modules over non-isolated surface singularities and matrix problems</i>, 1178th ed., vol. 248. 2017.","chicago":"Burban, Igor, and Yu. Drozd. <i>Maximal Cohen-Macaulay Modules over Non-Isolated Surface Singularities and Matrix Problems</i>. 1178th ed. Vol. 248. 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