Submanifolds with corners in Delzant polytopes associated to affine subspaces
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911414599286784 |
|---|---|
| author | Yamaguchi, Kentaro |
| author_facet | Yamaguchi, Kentaro |
| contents | We studied the closure of a complex subtorus given from an affine subspace in $\mathfrak{t}^{n} \cong \mathbb{R}^{n}$ in a toric manifold. If the closure of the complex subtorus is a smooth complex submanifold in the toric manifold, then we call such submanifold a torus-equivariantly embedded toric manifold with respect to the subtorus action determined by the data of the affine subspace. In this paper, we construct certain submanifolds with corners in a Delzant polytope of the toric manifold from the affine subspaces and show that the conditions for such submanifolds with corners are equivalent to those for torus-equivariantly embedded toric manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_16884 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Submanifolds with corners in Delzant polytopes associated to affine subspaces Yamaguchi, Kentaro Symplectic Geometry Differential Geometry Primary 53C40, Secondary 53D20, 14M25 We studied the closure of a complex subtorus given from an affine subspace in $\mathfrak{t}^{n} \cong \mathbb{R}^{n}$ in a toric manifold. If the closure of the complex subtorus is a smooth complex submanifold in the toric manifold, then we call such submanifold a torus-equivariantly embedded toric manifold with respect to the subtorus action determined by the data of the affine subspace. In this paper, we construct certain submanifolds with corners in a Delzant polytope of the toric manifold from the affine subspaces and show that the conditions for such submanifolds with corners are equivalent to those for torus-equivariantly embedded toric manifolds. |
| title | Submanifolds with corners in Delzant polytopes associated to affine subspaces |
| topic | Symplectic Geometry Differential Geometry Primary 53C40, Secondary 53D20, 14M25 |
| url | https://arxiv.org/abs/2402.16884 |