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arXiv · 2207.07257

Stability of Tschirnhausen Bundles

Izzet Coskun·Eric Larson·Isabel Vogt
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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 $g(Y) \geq 2$.

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Izzet Coskun, Eric Larson, Isabel Vogt. 2022-07-15. Stability of Tschirnhausen Bundles. https://arxiv.org/abs/2207.07257

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