Calculus inequalities derived from holomorphic Morse inequalities

DOI10.1007/BF01453588zbMath0701.32010OpenAlexW2090274506MaRDI QIDQ914002

Yum-Tong Siu

Publication date: 1990

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164650

zbMATH Keywords

Morse inequalitiespolynomially convexplurisubharmoniccomplex Monge- Ampère operator

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Complex Monge-Ampère operators (32W20)

Related Items (3)

Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics ⋮ Semiclassical asymptotics on covering manifolds and Morse inequalities ⋮ Inégalités de Morse pour la $d$-cohomologie sur une variété holomorphe non compacte

Cites Work

• Unnamed Item
• Stabilité de la classe des variétés Kaehleriennes par certains morphismes propres
• Champs magnétiques et inégalités de Morse pour la d-cohomologie. (Magnetic fields and Morse inequalities for d-cohomology)
• The Dirichlet problem for the multidimensional Monge-Ampère equation

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