English

The H_N filtration of bundles as Frobenius pull-back

Algebraic Geometry 2012-12-19 v1

Abstract

Let X be a smooth projective curve over an algebraic closed field of characteristic p and F be the Frobenius morphism of X. Here, I give a negative answer to the guess that the length of the Harder-Narasimhan of F*W is not bigger than p, where W is a semistable bundle on X.

Keywords

Cite

@article{arxiv.1212.4404,
  title  = {The H_N filtration of bundles as Frobenius pull-back},
  author = {Mingshuo Zhou},
  journal= {arXiv preprint arXiv:1212.4404},
  year   = {2012}
}

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6 pages