English

$L^2$-Riemann-Roch for singular complex curves

Complex Variables 2015-06-02 v4

Abstract

We present a comprehensive L2L^2-theory for the \overline\partial-operator on singular complex curves, including L2L^2-versions of the Riemann-Roch theorem and some applications.

Keywords

Cite

@article{arxiv.1304.5930,
  title  = {$L^2$-Riemann-Roch for singular complex curves},
  author = {Jean Ruppenthal and Martin Sera},
  journal= {arXiv preprint arXiv:1304.5930},
  year   = {2015}
}

Comments

19 pages

R2 v1 2026-06-22T00:04:06.253Z