Weak transcendental holomorphic Morse inequalities on compact Kähler manifolds

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.

v2, typos corrected, to appear in Annales de l'Institut Fourier

References in corpus (1)

• Pluripotential estimates on compact Hermitian manifolds

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