Generic Beauville’s Conjecture
Copyright policy )Generic Beauville’s Conjecture
Abstract 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.
- Vogt, Isabel Marley United States
- University of Chicago United States
- Brown University United States
- Larson Erik J United States
- University of Illinois at Chicago United States
Mathematics - Algebraic Geometry, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, QA1-939, FOS: Mathematics, Algebraic Geometry (math.AG), Mathematics, 14D20, 14H60
Mathematics - Algebraic Geometry, Algebraic moduli problems, moduli of vector bundles, Vector bundles on curves and their moduli, QA1-939, FOS: Mathematics, Algebraic Geometry (math.AG), Mathematics, 14D20, 14H60
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!