{"date_updated":"2026-01-16T09:09:17Z","date_created":"2026-01-15T09:37:34Z","type":"preprint","status":"public","author":[{"full_name":"Baumeister, Barbara","last_name":"Baumeister","first_name":"Barbara"},{"id":"72064","first_name":"Igor","full_name":"Burban, Igor","last_name":"Burban"},{"first_name":"Georges","last_name":"Neaime","full_name":"Neaime, Georges"},{"last_name":"Schwabe","full_name":"Schwabe, Charly Merlin","first_name":"Charly Merlin","id":"103440"}],"abstract":[{"text":"We introduce a new class of reflection groups associated with the canonical bilinear lattices of Lenzing, which we call reflection groups of canonical type. The main result of this work is a categorification of the corresponding poset of non-crossing partitions for any such group, realized via the poset of thick subcategories of the category of coherent sheaves on an exceptional hereditary curve generated by an exceptional sequence. A second principal result, essential for the categorification, is a proof of the transitivity of the Hurwitz action in these reflection groups.","lang":"eng"}],"language":[{"iso":"eng"}],"external_id":{"arxiv":["2512.01729"]},"publication":"arXiv:2512.01729","user_id":"103440","_id":"63620","citation":{"ieee":"B. Baumeister, I. Burban, G. Neaime, and C. M. Schwabe, “Non-crossing partitions for exceptional hereditary curves,” <i>arXiv:2512.01729</i>. 2025.","mla":"Baumeister, Barbara, et al. “Non-Crossing Partitions for Exceptional Hereditary Curves.” <i>ArXiv:2512.01729</i>, 2025.","bibtex":"@article{Baumeister_Burban_Neaime_Schwabe_2025, title={Non-crossing partitions for exceptional hereditary curves}, journal={arXiv:2512.01729}, author={Baumeister, Barbara and Burban, Igor and Neaime, Georges and Schwabe, Charly Merlin}, year={2025} }","short":"B. Baumeister, I. Burban, G. Neaime, C.M. Schwabe, ArXiv:2512.01729 (2025).","apa":"Baumeister, B., Burban, I., Neaime, G., &#38; Schwabe, C. M. (2025). Non-crossing partitions for exceptional hereditary curves. In <i>arXiv:2512.01729</i>.","chicago":"Baumeister, Barbara, Igor Burban, Georges Neaime, and Charly Merlin Schwabe. “Non-Crossing Partitions for Exceptional Hereditary Curves.” <i>ArXiv:2512.01729</i>, 2025.","ama":"Baumeister B, Burban I, Neaime G, Schwabe CM. Non-crossing partitions for exceptional hereditary curves. <i>arXiv:251201729</i>. Published online 2025."},"title":"Non-crossing partitions for exceptional hereditary curves","year":"2025"}