Stability of Tschirnhausen Bundles-Reference-Cited by-同舟云学术

Stability of Tschirnhausen Bundles

Published:2023-04-24 Issue:1 Volume:2024 Page:597-612
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Coskun Izzet¹,Larson Eric²,Vogt Isabel²

Affiliation:

1. Department of Mathematics, Statistics, and CS, University of Illinois at Chicago , Chicago, IL 60607, USA

2. Department of Mathematics, Brown University , Providence RI 02912, USA

Abstract

Abstract Let $\alpha \colon X \to Y$ 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 $g(Y) \geq 2$.

Funder

NSF FRG

NSF

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2024/1/597/55146400/rnad075.pdf

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