English

The first cohomology of separably rationally connected varieties

Algebraic Geometry 2014-04-22 v2

Abstract

In this short note we prove that if X is a separably rationally connected variety over an algebraically closed field of positive characteristic, then H^1(X, O_X)=0.

Keywords

Cite

@article{arxiv.1303.2222,
  title  = {The first cohomology of separably rationally connected varieties},
  author = {Frank Gounelas},
  journal= {arXiv preprint arXiv:1303.2222},
  year   = {2014}
}