Holomorphic Morse inequalities for orbifolds
Differential Geometry
2018-10-03 v5
Abstract
We prove that Demailly's holomorphic Morse inequalities hold true for complex orbifolds by using a heat kernel method. Then we introduce the class of Moishezon orbifolds and as an application of our inequalties, we give a geometric criterion for a compact connected orbifold to be a Moishezon orbifolds, thus generalizing Siu's and Demailly's answers to the Grauert-Riemenschneider conjecture to the orbifold case.
Cite
@article{arxiv.1612.05183,
title = {Holomorphic Morse inequalities for orbifolds},
author = {Martin Puchol},
journal= {arXiv preprint arXiv:1612.05183},
year = {2018}
}