1. Stability of Tschirnhausen Bundles
- Author
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Coskun, Izzet, Larson, Eric, and Vogt, Isabel
- Subjects
14H30, 14H60 ,Mathematics - Algebraic Geometry ,Mathematics::Algebraic Geometry ,General Mathematics ,FOS: Mathematics ,Algebraic Geometry (math.AG) - Abstract
Let $\alpha : X \to Y$ be a general degree $r$ primitive map of nonsingular, irreducible, projective curves over an algebraically closed field of characteristic zero or larger than $r$. We prove that the Tschirnhausen bundle of $\alpha$ is semistable if $g(Y) \geq 1$ and stable if $g(Y) \geq 2$., Comment: To appear in International Math Research Notices
- Published
- 2023