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Algebraic structures on valuations, their properties and applications

度量几何 2007-05-23 v1

摘要

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.

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引用

@article{arxiv.math/0304338,
  title  = {Algebraic structures on valuations, their properties and applications},
  author = {Semyon Alesker},
  journal= {arXiv preprint arXiv:math/0304338},
  year   = {2007}
}