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arXiv · 0709.1677

A remark on Frobenius descent for vector bundles

Holger Brenner·Almar Kaid
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Abstract

We give a class of examples of vector bundles on a relative smooth projective curve over Spec Z such that for infinitely many prime reductions the bundle has a Frobenius descent, but the restriction to the generic fiber in characteristic zero is not semistable. In the third section of the paper we prove for a large class of varieties (including abelian varieties) that any vector bundle with this Frobenius descent property is generically semistable.

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Holger Brenner, Almar Kaid. 2008-02-11. A remark on Frobenius descent for vector bundles. https://arxiv.org/abs/0709.1677

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