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arXiv · 2509.00444

Frobenius induced morphisms on moduli of sheaves on curves

Jin Cao·Xiaoyu Su
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Abstract

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.

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Jin Cao, Xiaoyu Su. 2025-08-30. Frobenius induced morphisms on moduli of sheaves on curves. https://arxiv.org/abs/2509.00444

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