Infinitesimal extension of pluricanonical forms
Algebraic Geometry
2023-03-30 v5 Complex Variables
Abstract
The current paper represents the first part: it contains the results concerning the lifting of twisted canonical sections defined on an infinitesimal neighborhood of the central fiber of a smooth, proper K\"ahler family which verify a natural L2 condition.
Keywords
Cite
@article{arxiv.2012.05063,
title = {Infinitesimal extension of pluricanonical forms},
author = {Junyan Cao and Mihai Paun},
journal= {arXiv preprint arXiv:2012.05063},
year = {2023}
}
Comments
Comments welcome. We have decided to split our work arXiv:2012.05063 into two parts (this is mainly due to its length)