Delzant type theorem for torus-equivariantly embedded toric hypersurfaces

2024/11/11 by Yamaguchi, Kentaro
#14M25 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C40 #Secondary 53D20 #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.2411.06715

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.

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