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Bibliographic Details
Main Author: Svensson, Ludvig
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2301.07417
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Table of 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.