Academic Journal
Generic Beauville’s Conjecture
| Title: | Generic Beauville’s Conjecture |
|---|---|
| Authors: | Izzet Coskun, Eric Larson, Isabel Vogt |
| Source: | Forum of Mathematics, Sigma, Vol 12 (2024) |
| Subject Terms: | 14H60, 14D20, Mathematics, QA1-939 |
| Publisher Information: | Cambridge University Press, 2024. |
| Publication Year: | 2024 |
| Collection: | LCC:Mathematics |
| Description: | Let $\alpha \colon X \to Y$ be a finite cover of smooth curves. Beauville conjectured that the pushforward of a general vector bundle under $\alpha $ is semistable if the genus of Y is at least $1$ and stable if the genus of Y is at least $2$ . We prove this conjecture if the map $\alpha $ is general in any component of the Hurwitz space of covers of an arbitrary smooth curve Y. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 2050-5094 |
| Relation: | https://www.cambridge.org/core/product/identifier/S2050509424000215/type/journal_article; https://doaj.org/toc/2050-5094 |
| DOI: | 10.1017/fms.2024.21 |
| Access URL: | https://doaj.org/article/1cd534a73df34452898100345c39cc99 |
| Accession Number: | edsdoj.1cd534a73df34452898100345c39cc99 |
| ISSN: | 20505094 |
| DOI: | 10.1017/fms.2024.21 |
| Database: | Directory of Open Access Journals |