论文标题

Kotrbaty的估值和几何不平等现象的定理

Kotrbaty's theorem on valuations and geometric inequalities for convex bodies

论文作者

Alesker, Semyon

论文摘要

最近,J。Kotrbaty证明了对翻译不变的平滑估值的普遍不平等现象,与Kahler几何形状中的Hodge-Riemann双线关系正式相似。本说明的目的是应用Kotrbaty的定理,以获得一些显然是凸体混合体积的新不平等现象。

Very recently J. Kotrbaty has proven general inequalities for translation invariant smooth valuations formally analogous to the Hodge- Riemann bilinear relations in the Kahler geometry. The goal of this note is to apply Kotrbaty's theorem to obtain a few apparently new inequalities for mixed volumes of convex bodies.

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