SYZ and optimal transport stability of Weyl polytopes
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866915271800782848 |
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| author | Delcroix, Thibaut Hultgren, Jakob |
| author_facet | Delcroix, Thibaut Hultgren, Jakob |
| contents | We prove optimal transport stability (in the sense of Andreasson and the second author) for reflexive Weyl polytopes: reflexive polytopes which are convex hulls of an orbit of a Weyl group. When the reflexive Weyl polytope is Delzant, it follows from work of Li, Andreasson, Hultgren, Jonsson, Mazzon, McCleerey, that the weak metric SYZ conjecture holds for the Dwork family in the corresponding toric Fano manifold. In particular, we show that the weak metric SYZ conjecture holds for centrally symmetric smooth Fano toric manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_02068 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | SYZ and optimal transport stability of Weyl polytopes Delcroix, Thibaut Hultgren, Jakob Differential Geometry Algebraic Geometry 14J33, 14J32, 32Q25, 14M25, 14J45, 35J96 We prove optimal transport stability (in the sense of Andreasson and the second author) for reflexive Weyl polytopes: reflexive polytopes which are convex hulls of an orbit of a Weyl group. When the reflexive Weyl polytope is Delzant, it follows from work of Li, Andreasson, Hultgren, Jonsson, Mazzon, McCleerey, that the weak metric SYZ conjecture holds for the Dwork family in the corresponding toric Fano manifold. In particular, we show that the weak metric SYZ conjecture holds for centrally symmetric smooth Fano toric manifolds. |
| title | SYZ and optimal transport stability of Weyl polytopes |
| topic | Differential Geometry Algebraic Geometry 14J33, 14J32, 32Q25, 14M25, 14J45, 35J96 |
| url | https://arxiv.org/abs/2406.02068 |