Generic vanishing and classification of irregular surfaces in positive characteristics

Abstract

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

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

References in corpus (1)

• Generic ordinarity for semi-stable fibration

Cited by in corpus (1)

• On the characterization of abelian varieties in characteristic $p>0$