A general extension theorem for cohomology classes on non reduced analytic spaces
Algebraic Geometry
2017-05-24 v2
Abstract
The main purpose of this paper is to generalize the celebrated L extension theorem of Ohsawa-Takegoshi in several directions : the holomorphic sections to extend are taken in a possibly singular hermitian line bundle, the subvariety from which the extension is performed may be non reduced, the ambient manifold is K{\"a}hler and holomorphically convex, but not necessarily compact.
Cite
@article{arxiv.1703.00292,
title = {A general extension theorem for cohomology classes on non reduced analytic spaces},
author = {Junyan Cao and Jean-Pierre Demailly and Shin-Ichi Matsumura},
journal= {arXiv preprint arXiv:1703.00292},
year = {2017}
}
Comments
To appear in Science China Mathematics SCM-2017-0090 in memory of professor Lu QiKeng