Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings

Monday, 8 February, 2016

Published in: 

arXiv:1602.02738

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 asymptotics of Riemann mappings of small domains.

Author(s): 

Giovanni Felder
David Kazhdan