English

Bogomolov--Sommese type vanishing for globally $F$-regular threefolds

Algebraic Geometry 2021-03-23 v4

Abstract

In this paper, we show that every invertible subsheaf of the cotangent bundle of a smooth globally FF-regular threefold of characteristic p>3p>3 has Iitaka dimension less than or equal to one.

Keywords

Cite

@article{arxiv.1911.08240,
  title  = {Bogomolov--Sommese type vanishing for globally $F$-regular threefolds},
  author = {Tatsuro Kawakami},
  journal= {arXiv preprint arXiv:1911.08240},
  year   = {2021}
}

Comments

15 pages, to appear in Mathematische Zeitschrift