On a question of Mehta and Pauly

Holger Brenner; Axel Stäbler

On a question of Mehta and Pauly

Algebraic Geometry 2015-06-26 v2

Authors: Holger Brenner , Axel Stäbler

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.

Keywords

harder-narasimhan filtration semistable vector bundles characteristic p projective curves frobenius pullback

Cite

@article{arxiv.1310.4704,
  title  = {On a question of Mehta and Pauly},
  author = {Holger Brenner and Axel Stäbler},
  journal= {arXiv preprint arXiv:1310.4704},
  year   = {2015}
}

Comments

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

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