Delzant type theorem for torus-equivariantly embedded toric hypersurfaces
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917462588522496 |
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| author | Yamaguchi, Kentaro |
| author_facet | Yamaguchi, Kentaro |
| contents | In the previous work, we study the moment polytope of the closure of the complex subtorus orbit in a symplectic toric manifold associated to an affine subspace when the closure is a smooth complex submanifold. In this paper, we clarify the condition for nonsingularity of the closure of the codimension one complex subtorus orbit in terms of polytopes. The main result is a generalization of Delzant theorem. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_06715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Delzant type theorem for torus-equivariantly embedded toric hypersurfaces Yamaguchi, Kentaro Symplectic Geometry Differential Geometry Primary 53C40, Secondary 53D20, 14M25 In the previous work, we study the moment polytope of the closure of the complex subtorus orbit in a symplectic toric manifold associated to an affine subspace when the closure is a smooth complex submanifold. In this paper, we clarify the condition for nonsingularity of the closure of the codimension one complex subtorus orbit in terms of polytopes. The main result is a generalization of Delzant theorem. |
| title | Delzant type theorem for torus-equivariantly embedded toric hypersurfaces |
| topic | Symplectic Geometry Differential Geometry Primary 53C40, Secondary 53D20, 14M25 |
| url | https://arxiv.org/abs/2411.06715 |