Weak transcendental holomorphic Morse inequalities on compact K\"ahler manifolds
classification
🧮 math.CV
math.DG
keywords
transcendentalinequalitiesmorseahlercompactholomorphicmanifoldsweak
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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 K\"ahler manifolds. And as a consequence, we partially improve a result of Boucksom-Demailly-Paun-Peternell.
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