论文标题

真实符号几何形状I中的矩倍数

Moment polytopes in real symplectic geometry I

论文作者

Paradan, Paul-Emile

论文摘要

令Z成为k {ä} Hler Hamiltonian M.的真实部分。O'Shea-Sjamaar的定理告诉我们,Polytope Delta(Z)的那一刻与Kirwan Polytope Delta(M)的反作用部分相对应。本文的目的是解释如何根据Real Ressayre的Z对参数化Delta(Z)的方程。

Let Z be the real part of a K{ä}hler Hamiltonian manifold M. The O'Shea-Sjamaar's Theorem tells us that the moment polytope Delta(Z) corresponds to the anti-invariant part of the Kirwan polytope Delta(M). The purpose of the present paper is to explain how to parameterize the equations of the facets of Delta(Z) in terms of real Ressayre's pairs of Z.

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