On a question of Mehta and Pauly

2013/10/17 by Holger Brenner, Brenner, Holger, Axel Stäbler +1
Mathematics · #14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14H60

paper · pdf · doi:10.48550/arxiv.1310.4704

3 pages; v1: Changes in exposition, added abstract in french, final version

arxiv created 2015/06/25 · arxiv updated 2015/06/26

Abstract

In this short note we provide explicit examples in characteristic p on certain smooth projective curves where for a given semistable vector bundle E the length of the Harder-Narasimhan filtration of F^∗ E is longer than p. This answers a question of Mehta and Pauly raised in arXiv:math/0607565.

Citations

• Semistability of Frobenius direct images over curves

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