## Gebhard Martin - Automorphism group schemes of bielliptic and quasi-bielliptic surfaces

epiga:7317 - Épijournal de Géométrie Algébrique, April 25, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.7317
Automorphism group schemes of bielliptic and quasi-bielliptic surfaces

Authors: Gebhard Martin

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 $0$.

Volume: Volume 6
Published on: April 25, 2022
Accepted on: April 25, 2022
Submitted on: March 31, 2021
Keywords: Mathematics - Algebraic Geometry,14J27, 14J50, 14G17, 14L15