{"citation":{"mla":"Seguin, Beranger Fabrice. “The Geometry of Rings of Components of Hurwitz Spaces.” <i>ArXiv:2210.12793</i>, 2022.","ama":"Seguin BF. The Geometry of Rings of Components of Hurwitz Spaces. <i>arXiv:221012793</i>. Published online 2022.","short":"B.F. Seguin, ArXiv:2210.12793 (2022).","ieee":"B. F. Seguin, “The Geometry of Rings of Components of Hurwitz Spaces,” <i>arXiv:2210.12793</i>. 2022.","chicago":"Seguin, Beranger Fabrice. “The Geometry of Rings of Components of Hurwitz Spaces.” <i>ArXiv:2210.12793</i>, 2022.","apa":"Seguin, B. F. (2022). The Geometry of Rings of Components of Hurwitz Spaces. In <i>arXiv:2210.12793</i>.","bibtex":"@article{Seguin_2022, title={The Geometry of Rings of Components of Hurwitz Spaces}, journal={arXiv:2210.12793}, author={Seguin, Beranger Fabrice}, year={2022} }"},"user_id":"102487","author":[{"last_name":"Seguin","id":"102487","full_name":"Seguin, Beranger Fabrice","first_name":"Beranger Fabrice"}],"date_updated":"2025-01-15T11:35:43Z","type":"preprint","language":[{"iso":"eng"}],"_id":"58185","publication":"arXiv:2210.12793","abstract":[{"lang":"eng","text":"We consider a variant of the ring of components of Hurwitz spaces introduced\r\nby Ellenberg, Venkatesh and Westerland. By focusing on Hurwitz spaces\r\nclassifying covers of the projective line, the resulting ring of components is\r\ncommutative, which lets us study it from the point of view of algebraic\r\ngeometry and relate its geometric properties to numerical invariants involved\r\nin our previously obtained asymptotic counts. Specifically, we describe a\r\nstratification of the prime spectrum of the ring of components, and we compute\r\nthe dimensions and degrees of the strata. Using the stratification, we give a\r\ncomplete description of the spectrum in some cases."}],"date_created":"2025-01-15T11:24:56Z","title":"The Geometry of Rings of Components of Hurwitz Spaces","year":"2022","status":"public","external_id":{"arxiv":["2210.12793"]}}