A Delzant type theorem for torus-equivariantly embedded toric hypersurfaces
Abstract
Abstract In previous work, we have studied 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 the Delzant theorem.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Geometric and Algebraic Topology
Publication details
- Journal / source
- Advances in Geometry
- Publisher
- Walter de Gruyter GmbH
- Volume
- 26
- Issue
- 2
- Pages
- 163–180
- Publication date
- 21 March 2026
- Language
- EN