Frobenius induced morphisms on moduli of sheaves on curves

Fuente: arXiv
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Main Authors: Cao, Jin, Su, Xiaoyu
Format: Preprint
Published: 2025
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author Cao, Jin
Su, Xiaoyu
author_facet Cao, Jin
Su, Xiaoyu
contents We show the Frobenius pullback of a general semi-stable vector bundle in the moduli space of vector bundles with fixed rank and degree is still semi-stable by deformation trick. We then present several applications of the main theorem.
format Preprint
id arxiv_https___arxiv_org_abs_2509_00444
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Frobenius induced morphisms on moduli of sheaves on curves
Cao, Jin
Su, Xiaoyu
Algebraic Geometry
We show the Frobenius pullback of a general semi-stable vector bundle in the moduli space of vector bundles with fixed rank and degree is still semi-stable by deformation trick. We then present several applications of the main theorem.
title Frobenius induced morphisms on moduli of sheaves on curves
topic Algebraic Geometry
url https://arxiv.org/abs/2509.00444