Weak transcendental holomorphic Morse inequalities on compact K\"ahler manifolds
Complex Variables
2014-08-12 v2 Differential Geometry
Abstract
Transcendental holomorphic Morse inequalities aim at characterizing the positivity of transcendental cohomology classes of type . In this paper, we prove a weak version of Demailly's conjecture on transcendental Morse inequalities on compact K\"ahler manifolds. And as a consequence, we partially improve a result of Boucksom-Demailly-Paun-Peternell.
Keywords
Cite
@article{arxiv.1308.2878,
title = {Weak transcendental holomorphic Morse inequalities on compact K\"ahler manifolds},
author = {Jian Xiao},
journal= {arXiv preprint arXiv:1308.2878},
year = {2014}
}
Comments
v2, typos corrected, to appear in Annales de l'Institut Fourier