English

Modules of square integrable holomorphic germs

Complex Variables 2014-06-18 v2

Abstract

This paper was inspired by Guan and Zhou's recent proof of the so-called strong openness conjecture for plurisubharmonic functions. We give a proof shorter than theirs and extend the result to possibly singular hermitian metrics on vector bundles.

Keywords

Cite

@article{arxiv.1404.0407,
  title  = {Modules of square integrable holomorphic germs},
  author = {Laszlo Lempert},
  journal= {arXiv preprint arXiv:1404.0407},
  year   = {2014}
}

Comments

Typos corrected, reference added

R2 v1 2026-06-22T03:40:44.784Z