English

Residues and currents from singular forms on complex manifolds

Complex Variables 2020-05-07 v1

Abstract

Using methods from the theory of residue currents we provide asymptotic expansions of certain divergent integrals on complex manifolds. We express the coefficients in these expansions with the conjugate Dolbeault residue, introduced by Felder and Kazhdan, and define a new residue which we call the Aeppli residue.

Cite

@article{arxiv.2005.02888,
  title  = {Residues and currents from singular forms on complex manifolds},
  author = {Mattias Lennartsson},
  journal= {arXiv preprint arXiv:2005.02888},
  year   = {2020}
}

Comments

18 pages

R2 v1 2026-06-23T15:21:20.337Z