Convex bodies associated to actions of reductive groups

zbMath1284.14061arXiv1001.4830MaRDI QIDQ4902662

A. G. Khovanskii, Kiumars Kaveh

Publication date: 17 January 2013

Full work available at URL: https://arxiv.org/abs/1001.4830

zbMATH Keywords

mixed volumeconvex bodymoment mapBrunn-Minkowski inequalityDuistermaat-Heckman measurevolume of a line bundlesemigroup of integral pointsmultiplicity of a representationreductive group action\(G\)-line bundlegraded \(G\)-algebra

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Momentum maps; symplectic reduction (53D20) Mixed volumes and related topics in convex geometry (52A39)

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