Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds

Jian Xiao

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arXiv · 1308.2878

Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds

Jian Xiao

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Abstract

Transcendental holomorphic Morse inequalities aim at characterizing the positivity of transcendental cohomology classes of type $(1,1)$. In this paper, we prove a weak version of Demailly's conjecture on transcendental Morse inequalities on compact Kähler manifolds. And as a consequence, we partially improve a result of Boucksom-Demailly-Paun-Peternell.

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Jian Xiao. 2014-08-10. Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds. https://arxiv.org/abs/1308.2878

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