Delzant type theorem for torus-equivariantly embedded toric hypersurfaces

Autor:	Yamaguchi, Kentaro
Rok vydání:	2024
Předmět:	Mathematics - Symplectic Geometry Mathematics - Differential Geometry Primary 53C40 Secondary 53D20 14M25
Druh dokumentu:	Working Paper
Popis:	In the previous work, we study the closure of a complex subtorus in a toric manifold given by the data of an affine subspace. We call it torus-equivariantly embedded toric manifold when the closure of a complex subtorus is a smooth complex submanifold. In this paper, we clearify the condition for nonsingularity of the closure of a complex subtorus in terms of polytopes. The main result is a generalization of Delzant theorem to the case of torus-equivariantly embedded toric hypersurfaces. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.06715 Zobrazit plný text záznamu View this record from Arxiv