The automorphism groups of Kummer surfaces in characteristic two and their complex analogues
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909974058237952 |
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| author | Kondo, Shigeyuki Mukai, Shigeru |
| author_facet | Kondo, Shigeyuki Mukai, Shigeru |
| contents | We calculate the automorphism group of the Kummer surface associated with a curve of genus 2 or the product of two elliptic curves in characteristic two under the assumption that the Kummer surface is a $K3$ surface. Moreover we discuss the complex $K3$ surfaces with the same Picard lattice as these Kummer surfaces. The paper has two appendices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18902 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The automorphism groups of Kummer surfaces in characteristic two and their complex analogues Kondo, Shigeyuki Mukai, Shigeru Algebraic Geometry We calculate the automorphism group of the Kummer surface associated with a curve of genus 2 or the product of two elliptic curves in characteristic two under the assumption that the Kummer surface is a $K3$ surface. Moreover we discuss the complex $K3$ surfaces with the same Picard lattice as these Kummer surfaces. The paper has two appendices. |
| title | The automorphism groups of Kummer surfaces in characteristic two and their complex analogues |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2412.18902 |