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arXiv · 1211.2893

Stable bundles as Frobenius morphism direct image

Congjun Liu·Mingshuo Zhou
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Abstract

Let X be a smooth projective curve of genus $g\geq 2$ defined over an algebraically closed field k of characteristic $p>0$ and let $F:X\rightarrow X_{1}$ be the relative k-linear Frobenius map. We prove (Theorem 1.1) E is a stable bundle on $X_{1}$ with $I(E)= (p-1)(2g-2)$ if and only if E is the direct image of some stable bundle W on $X$.

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Congjun Liu, Mingshuo Zhou. 2012-11-29. Stable bundles as Frobenius morphism direct image. https://arxiv.org/abs/1211.2893

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