The zeros of random sections of real vector bundles

Fuente: arXiv
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Main Author: Kazarnovskii, Boris
Format: Preprint
Published: 2024
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_version_ 1866911836075458560
author Kazarnovskii, Boris
author_facet Kazarnovskii, Boris
contents We define integral geometric analogues of the Chern classes for real vector bundle on a smooth real variety. More precisely, we define the Chern densities of a real bundle. These densities are analogues of the Chern forms of a complex vector bundle and inherit some of their properties. \noindent (The text is a summary of a report on the conference PCA'2024 in Euler International Mathematical Institute, St. Petersburg)
format Preprint
id arxiv_https___arxiv_org_abs_2404_07596
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The zeros of random sections of real vector bundles
Kazarnovskii, Boris
Algebraic Geometry
Probability
60D05, 52Axx
G.3
We define integral geometric analogues of the Chern classes for real vector bundle on a smooth real variety. More precisely, we define the Chern densities of a real bundle. These densities are analogues of the Chern forms of a complex vector bundle and inherit some of their properties. \noindent (The text is a summary of a report on the conference PCA'2024 in Euler International Mathematical Institute, St. Petersburg)
title The zeros of random sections of real vector bundles
topic Algebraic Geometry
Probability
60D05, 52Axx
G.3
url https://arxiv.org/abs/2404.07596