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Algebraic structures on valuations, their properties and applications

Semyon Alesker
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Abstract

We describe various structures of algebraic nature on the space of continuous valuations on convex sets, their properties (like versions of Poincaré duality and hard Lefschetz theorem), and their relations and applications to integral geometry.

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Semyon Alesker. 2003-04-22. Algebraic structures on valuations, their properties and applications. https://arxiv.org/abs/math/0304338

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