Infinitesimal extension of pluricanonical forms
- Resource Type
- Working Paper
- Authors
- Cao, Junyan; Paun, Mihai
- Source
- Subject
- Mathematics - Algebraic Geometry
Mathematics - Complex Variables
- Language
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.
Comment: Comments welcome. We have decided to split our work arXiv:2012.05063 into two parts (this is mainly due to its length)