The paper generalizes the Delzant theorem, clarifying nonsingularity conditions for codimension-one complex subtorus orbits in polytopes.
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.
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Kentaro Yamaguchi (2026) studied this question.
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