Delzant type theorem for torus-equivariantly embedded toric hypersurfaces
Symplectic Geometry
2026-05-07 v2 Differential Geometry
Abstract
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.
Cite
@article{arxiv.2411.06715,
title = {Delzant type theorem for torus-equivariantly embedded toric hypersurfaces},
author = {Kentaro Yamaguchi},
journal= {arXiv preprint arXiv:2411.06715},
year = {2026}
}
Comments
27 pages, 1 figure. Added explanation and examples, fixed typos