English

On the S-fundamental group scheme

Algebraic Geometry 2015-03-24 v2

Abstract

We introduce a new fundamental group scheme for varieties defined over an algebraically closed field of positive characteristic and we use it to study generalization of some of C. Simpson's results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.

Keywords

Cite

@article{arxiv.0905.4600,
  title  = {On the S-fundamental group scheme},
  author = {Adrian Langer},
  journal= {arXiv preprint arXiv:0905.4600},
  year   = {2015}
}

Comments

37 pages; final version will appear in Ann. Inst. Fourier 61 (2011)

R2 v1 2026-06-21T13:07:04.472Z