Symmetric and Kähler--Einstein Fano polygons
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866912048554704896 |
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| author | Hwang, DongSeon Kim, Yeonsu |
| author_facet | Hwang, DongSeon Kim, Yeonsu |
| contents | We investigate \emph{singular} symmetric and Kähler--Einstein Fano polytopes. More precisely, we show that every symmetric Fano polytope is Kähler--Einstein generalizing the work by Batyrev and Selivanova, and study the automorphism groups of symmetric and Kähler--Einstein Fano polygons in detail. In particular, every finte subgroup of $GL_2(\mathbb{Z})$ is an automorphism group of a Kähler--Einstein Fano polygon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_13373 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Symmetric and Kähler--Einstein Fano polygons Hwang, DongSeon Kim, Yeonsu Algebraic Geometry Combinatorics We investigate \emph{singular} symmetric and Kähler--Einstein Fano polytopes. More precisely, we show that every symmetric Fano polytope is Kähler--Einstein generalizing the work by Batyrev and Selivanova, and study the automorphism groups of symmetric and Kähler--Einstein Fano polygons in detail. In particular, every finte subgroup of $GL_2(\mathbb{Z})$ is an automorphism group of a Kähler--Einstein Fano polygon. |
| title | Symmetric and Kähler--Einstein Fano polygons |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/2012.13373 |