English

Generic vanishing and classification of irregular surfaces in positive characteristics

Algebraic Geometry 2016-04-19 v3

Abstract

We establish a generic vanishing theorem for surfaces in characteristic pp that lift to W2(k)W_2(k) and use it for surface classification of surfaces of general type with Euler characteristic 1 and large Albanese dimension.

Keywords

Cite

@article{arxiv.1503.08384,
  title  = {Generic vanishing and classification of irregular surfaces in positive characteristics},
  author = {Yuan Wang},
  journal= {arXiv preprint arXiv:1503.08384},
  year   = {2016}
}

Comments

Final version. To appear in Trans. Amer. Math. Soc