Weak AkizukiNakano vanishing theorem for globally $F$split 3folds
Abstract
In this paper, we prove that a weak form of the AkizukiNakano vanishing theorem holds on globally $F$split 3folds. Making use of this vanishing theorem, we study deformations of globally $F$split Fano 3folds and the Kodaira vanishing theorem for thickenings of locally complete intersection globally $F$regular 3folds.
 Publication:

arXiv eprints
 Pub Date:
 December 2019
 DOI:
 10.48550/arXiv.1912.12074
 arXiv:
 arXiv:1912.12074
 Bibcode:
 2019arXiv191212074S
 Keywords:

 Mathematics  Algebraic Geometry;
 Mathematics  Commutative Algebra;
 13A35;
 14F17;
 14J45;
 14D15
 EPrint:
 29 pages