Geodesic
Generic Beauville’s Conjecture
Forum of Mathematics, Sigma, Tome 12 (2024)

Voir la notice de l'article provenant de la source Cambridge University Press

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. 
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     author = {Izzet Coskun and Eric Larson and Isabel Vogt},
     title = {Generic {Beauville{\textquoteright}s} {Conjecture}},
     journal = {Forum of Mathematics, Sigma},
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     year = {2024},
     doi = {10.1017/fms.2024.21},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/fms.2024.21/}
}
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Izzet Coskun; Eric Larson; Isabel Vogt. Generic Beauville’s Conjecture. Forum of Mathematics, Sigma, Tome 12 (2024). doi: 10.1017/fms.2024.21

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