Automorphism group schemes of bielliptic and quasi-bielliptic surfaces
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866918051234971648 |
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| author | Martin, Gebhard |
| author_facet | Martin, Gebhard |
| contents | 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 $0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_11679 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Automorphism group schemes of bielliptic and quasi-bielliptic surfaces Martin, Gebhard Algebraic Geometry 14J27, 14J50, 14G17, 14L15 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 $0$. |
| title | Automorphism group schemes of bielliptic and quasi-bielliptic surfaces |
| topic | Algebraic Geometry 14J27, 14J50, 14G17, 14L15 |
| url | https://arxiv.org/abs/2008.11679 |