English

Weak Density of the Fundamental Group Scheme

Algebraic Geometry 2009-11-10 v1

Abstract

On XX projective smooth over an algebraically closed field, we show that if Nori's fundamental group scheme is trivial, then there are no nontrivial Nori semistable bundles of degree 0, that is the group scheme πS(X)\pi^S(X) studied in particular by Langer is trivial.

Keywords

Cite

@article{arxiv.0911.1638,
  title  = {Weak Density of the Fundamental Group Scheme},
  author = {Hélène Esnault and Vikram Mehta},
  journal= {arXiv preprint arXiv:0911.1638},
  year   = {2009}
}

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8 pages