Generalized algebraic Morse inequalities and jet differentials
Algebraic Geometry
2019-12-10 v1 Complex Variables
Abstract
We give a fully algebraic proof of an important theorem of Demailly, stating the existence of many Green-Griffiths jet differentials on a complex projective manifold of general type. To this end, we introduce a new algebraic version of the Morse inequalities, which we then use in our proof as an algebraic counterpart to Demailly's and Bonavero's holomorphic Morse inequalities.
Keywords
Cite
@article{arxiv.1912.03952,
title = {Generalized algebraic Morse inequalities and jet differentials},
author = {Benoit Cadorel},
journal= {arXiv preprint arXiv:1912.03952},
year = {2019}
}