On Finite Parts of Divergent Complex Geometric Integrals and Their Dependence on a Choice of Hermitian Metric

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Bibliographic Details
Main Author:	Svensson, Ludvig
Format:	Preprint
Published:	2023
Subjects:	Complex Variables Mathematical Physics
Online Access:	Acceder al recurso
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author	Svensson, Ludvig
author_facet	Svensson, Ludvig
contents	Let $X$ be a reduced complex space of pure dimension. We consider divergent integrals of certain forms on $X$ that are singular along a subvariety defined by the zero set of a holomorphic section of some holomorphic vector bundle $E \rightarrow X$. Given a choice of Hermitian metric on $E$ we define a finite part of the divergent integral. Our main result is an explicit formula for the dependence on the choice of metric of the finite part.
format	Preprint
id	arxiv_https___arxiv_org_abs_2301_07417
institution	arXiv
publishDate	2023
record_format	arxiv
spellingShingle	On Finite Parts of Divergent Complex Geometric Integrals and Their Dependence on a Choice of Hermitian Metric Svensson, Ludvig Complex Variables Mathematical Physics Let $X$ be a reduced complex space of pure dimension. We consider divergent integrals of certain forms on $X$ that are singular along a subvariety defined by the zero set of a holomorphic section of some holomorphic vector bundle $E \rightarrow X$. Given a choice of Hermitian metric on $E$ we define a finite part of the divergent integral. Our main result is an explicit formula for the dependence on the choice of metric of the finite part.
title	On Finite Parts of Divergent Complex Geometric Integrals and Their Dependence on a Choice of Hermitian Metric
topic	Complex Variables Mathematical Physics
url	https://arxiv.org/abs/2301.07417

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