On subadditivity of Kodaira dimension in positive characteristic

Zsolt Patakfalvi

On subadditivity of Kodaira dimension in positive characteristic

Algebraic Geometry 2014-03-06 v3

Authors: Zsolt Patakfalvi

Abstract

We show that for a surjective, separable morphism f of smooth projective varieties over an algebraically closed field of positive characteristic such that $f_* \mathcal{O}_X = \mathcal{O}_Y$ subadditivity of Kodaira dimension holds, provided the base is of general type and the Hasse-Witt matrix of the geometric general fiber is not nilpotent.

Keywords

Kodaira dimension subadditivity positive characteristic surjective morphism smooth projective varieties Hasse-Witt matrix general type

Cite

@article{arxiv.1308.5371,
  title  = {On subadditivity of Kodaira dimension in positive characteristic},
  author = {Zsolt Patakfalvi},
  journal= {arXiv preprint arXiv:1308.5371},
  year   = {2014}
}

Comments

24 pages, comments are welcomed

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