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arxiv: 1305.4484 · v1 · pith:XWZIAGIJnew · submitted 2013-05-20 · 🧮 math.MG · math.AG

Aleksandrov-Fenchel inequality for coconvex bodies

classification 🧮 math.MG math.AG
keywords inequalityaleksandrov-fenchelbodiescoconvexversionalgebracommutativeideals
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We prove a version of the Aleksandrov-Fenchel inequality for mixed volumes of coconvex bodies. This version is motivated by an inequality from commutative algebra relating intersection multiplicities of ideals.

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