Geodesic
Automorphism group schemes of bielliptic and quasi-bielliptic surfaces
Épijournal de Géométrie Algébrique, Tome 6 (2022)

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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 $0$.
DOI : 10.46298/epiga.2022.7317
Classification : 14G17, 14J27, 14J50, 14L15 
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     author = {Martin, Gebhard},
     title = {Automorphism group schemes of bielliptic and quasi-bielliptic surfaces},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
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     volume = {6},
     year = {2022},
     doi = {10.46298/epiga.2022.7317},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2022.7317/}
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Martin, Gebhard. Automorphism group schemes of bielliptic and quasi-bielliptic surfaces. Épijournal de Géométrie Algébrique, Tome 6 (2022). doi: 10.46298/epiga.2022.7317

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