{"date_updated":"2025-12-12T23:12:23Z","date_created":"2025-12-12T23:09:07Z","publication_identifier":{"issn":["0021-2172","1565-8511"]},"type":"journal_article","author":[{"first_name":"Beranger Fabrice","id":"102487","last_name":"Seguin","full_name":"Seguin, Beranger Fabrice"}],"status":"public","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"For a finite group $G$, we describe the asymptotic growth of the number of\r\nconnected components of Hurwitz spaces of marked $G$-covers (of both the affine\r\nand projective lines) whose monodromy classes are constrained in a certain way,\r\nas the number of branch points grows to infinity. More precisely, we compute\r\nboth the exponent and (in many cases) the coefficient of the leading monomial\r\nin the count of components containing covers whose monodromy group is a given\r\nsubgroup of $G$. By the work of Ellenberg, Tran, Venkatesh and Westerland, this\r\nasymptotic behavior is related to the distribution of field extensions\r\nof~$\\mathbb{F}_q(T)$ with Galois group $G$."}],"publication_status":"published","doi":"10.1007/s11856-025-2848-5","user_id":"102487","publication":"Israel Journal of Mathematics","publisher":"Springer Science and Business Media LLC","title":"Counting Components of Hurwitz Spaces","citation":{"short":"B.F. Seguin, Israel Journal of Mathematics (2025).","chicago":"Seguin, Beranger Fabrice. “Counting Components of Hurwitz Spaces.” <i>Israel Journal of Mathematics</i>, 2025. <a href=\"https://doi.org/10.1007/s11856-025-2848-5\">https://doi.org/10.1007/s11856-025-2848-5</a>.","apa":"Seguin, B. F. (2025). Counting Components of Hurwitz Spaces. <i>Israel Journal of Mathematics</i>. <a href=\"https://doi.org/10.1007/s11856-025-2848-5\">https://doi.org/10.1007/s11856-025-2848-5</a>","ieee":"B. F. Seguin, “Counting Components of Hurwitz Spaces,” <i>Israel Journal of Mathematics</i>, 2025, doi: <a href=\"https://doi.org/10.1007/s11856-025-2848-5\">10.1007/s11856-025-2848-5</a>.","mla":"Seguin, Beranger Fabrice. “Counting Components of Hurwitz Spaces.” <i>Israel Journal of Mathematics</i>, Springer Science and Business Media LLC, 2025, doi:<a href=\"https://doi.org/10.1007/s11856-025-2848-5\">10.1007/s11856-025-2848-5</a>.","ama":"Seguin BF. Counting Components of Hurwitz Spaces. <i>Israel Journal of Mathematics</i>. Published online 2025. doi:<a href=\"https://doi.org/10.1007/s11856-025-2848-5\">10.1007/s11856-025-2848-5</a>","bibtex":"@article{Seguin_2025, title={Counting Components of Hurwitz Spaces}, DOI={<a href=\"https://doi.org/10.1007/s11856-025-2848-5\">10.1007/s11856-025-2848-5</a>}, journal={Israel Journal of Mathematics}, publisher={Springer Science and Business Media LLC}, author={Seguin, Beranger Fabrice}, year={2025} }"},"_id":"63078","year":"2025"}