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arXiv · 1711.03811

A motivic local Cauchy-Crofton formula

Arthur Forey
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Abstract

In this note, we establish a version of the local Cauchy-Crofton formula for definable sets in Henselian discretely valued fields of characteristic zero. It allows to compute the motivic local density of a set from the densities of its projections integrated over the Grassmannian.

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Arthur Forey. 2017-11-10. A motivic local Cauchy-Crofton formula. https://arxiv.org/abs/1711.03811

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