Algebraic structures on valuations, their properties and applications

Algebraic structures on valuations, their properties and applications
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估值的代数结构、其性质和应用

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发表时间:
2003
期刊:
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通讯作者:
S. Alesker
S. Alesker
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作者:
S. Alesker

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我们描述了凸集上连续赋值空间上的各种代数性质的结构,它们的性质(如庞加莱对偶和硬Lefschetz定理的版本),以及它们的关系和在积分几何中的应用。
We describe various structures of algebraic nature on the space of continuous valuations on convex sets, their properties (like versions of Poincar'e duality and hard Lefschetz theorem), and their relations and applications to integral geometry.