Holger Brenner, Axel Stäbler
Published 2013-10-17, updated 2015-06-25Version 2
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.
Comments: 3 pages; v1: Changes in exposition, added abstract in french, final version
GIT characterizations of Harder-Narasimhan filtrations
Characteristic classes for curves of genus one
A short note on vector bundles on curves
![QR code for arXiv:1310.4704 [math.AG]](http://oss.arxitics.com/images/favicon.svg)