English

Some L2 results for d-bar on projective varieties with general singularities

Complex Variables 2007-05-23 v1

Abstract

Let X be an irreducible n-dimensional projective variety in CP^N with arbitrary singular locus. We prove that the L2-(p,1)-d-bar cohomology groups (with respect to the Fubini-Study metric) of the regular part of X are finite dimensional.

Keywords

Cite

@article{arxiv.math/0610569,
  title  = {Some L2 results for d-bar on projective varieties with general singularities},
  author = {Nils Ovrelid and Sophia Vassiliadou},
  journal= {arXiv preprint arXiv:math/0610569},
  year   = {2007}
}

Comments

19 pages

R2 v1 2026-07-22T17:44:34.039Z