-
Generic vanishing in characteristic
p > 0 and the characterization of ordinary abelian varieties - American Journal of Mathematics
- Johns Hopkins University Press
- Volume 138, Number 4, August 2016
- pp. 963-998
- 10.1353/ajm.2016.0031
- Article
- Additional Information
We prove a generic vanishing type statement in positive characteristic and apply it to prove positive characteristic versions of Kawamata's theorems: a characterization of smooth varieties birational to ordinary abelian varieties and the surjectivity of the Albanese map when the Frobenius stable Kodaira dimension is zero.