Automorphism group schemes of bielliptic and quasi-bielliptic surfaces

Abstract

Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension $0$. In this article, we determine the automorphism schemes of these surfaces over algebraically closed fields of arbitrary characteristic, generalizing work of Bennett and Miranda over the complex numbers; we also find some cases that are missing from the classification of automorphism groups of bielliptic surfaces in characteristic $0$.

21 pages, final version

References in corpus (1)

• On automorphism groups of fiber bundles

Cited by in corpus (2)

• Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces
• Automorphisms of surfaces over fields of positive characteristic