On a question of Mehta and Pauly

Abstract

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

arXiv comment3 pages; v1: Changes in exposition, added abstract in french, final version

References in corpus (1)

• The H_N filtration of bundles as Frobenius pull-back