Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings
Complex Variables
2016-03-28 v2 Mathematical Physics
math.MP
Abstract
We describe the asymptotic behaviour and the dependence on the regularization of logarithmically divergent integrals of products of meromorphic and antimeromorphic forms on complex manifolds. Our formula is expressed in terms of residues of Dolbeault forms, a notion introduced in this paper. The proof is based on a result on the asymptotic behaviour of Riemann mappings of small domains.
Keywords
Cite
@article{arxiv.1602.02738,
title = {Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings},
author = {Giovanni Felder and David Kazhdan},
journal= {arXiv preprint arXiv:1602.02738},
year = {2016}
}
Comments
14 pages, misprints corrected