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arXiv · 2008.11679

Automorphism group schemes of bielliptic and quasi-bielliptic surfaces

Gebhard Martin
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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 $0$.

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Gebhard Martin. 2020-08-26. Automorphism group schemes of bielliptic and quasi-bielliptic surfaces. https://doi.org/10.46298/epiga.2022.7317

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