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Delzant's theorem : ウィキペディア英語版 | Delzant's theorem
In mathematics, Delzant's theorem, introduced by , classifies classifies effective Hamiltonian actions of a torus on a compact connected symplectic manifold of twice the dimension by their image under the momentum mapping (Delzant polytope). A Delzant polytope is a convex polytope in R''n'' such that the slopes of the edges of each vertex are given by a basis of Z''n''. As a corollary, these symplectic manifolds have a complex structure and can be promoted as toric varieties, with invariant Kähler structures. ==References==
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