Morse cohomology estimates for jet differential operators
Algebraic Geometry
2018-07-02 v1 Complex Variables
Abstract
We provide detailed holomorphic Morse estimates for the cohomology of sheaves of jet differentials and their dual sheaves. These estimates apply on arbitrary directed varieties, and a special attention has been given to the analysis of the singular situation. As a consequence, we obtain existence results for global jet differentials and global differential operators under positivity conditions for the canonical or anticanonical sheaf of the directedstructure.
Keywords
Cite
@article{arxiv.1806.10847,
title = {Morse cohomology estimates for jet differential operators},
author = {Jean-Pierre Demailly and Mohammad Reza Rahmati},
journal= {arXiv preprint arXiv:1806.10847},
year = {2018}
}