English

\'Etale contractible varieties in positive characteristic

Algebraic Geometry 2016-01-20 v2

Abstract

Unlike in characteristic 0, there are no non-trivial smooth varieties over an algebraically closed field k of characteristic p>0 that are contractible in the sense of etale homotopy theory.

Keywords

Cite

@article{arxiv.1310.2784,
  title  = {\'Etale contractible varieties in positive characteristic},
  author = {Armin Holschbach and Johannes Schmidt and Jakob Stix},
  journal= {arXiv preprint arXiv:1310.2784},
  year   = {2016}
}

Comments

6 pages, accepted for publication in Algebra & Number Theory