Lelong-Poincaré formula in symplectic and almost complex geometry

DOI10.1016/j.exmath.2019.04.004zbMath1457.32065OpenAlexW2946036940MaRDI QIDQ2221484

Emmanuel Mazzilli, Alexandre B. Sukhov

Publication date: 2 February 2021

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2019.04.004

zbMATH Keywords

divisorcurrentalmost complex manifoldcomplex vector bundle

Mathematics Subject Classification ID

Almost complex manifolds (32Q60) Currents (32U40)

Cites Work

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• Residue currents and King's formula
• Zero divisors of atomic functions
• Approximation of currents on complex manifolds
• Holomorphic curves in symplectic geometry
• Symplectic submanifolds and almost-complex geometry
• Asymptotically holomorphic families of symplectic submanifolds
• Polynomial convexity, rational convexity, and currents
• Poincaré-Lelong formula, \(J\)-analytic subsets and Lelong numbers of currents on almost complex manifolds
• Holomorphic function theory in several variables. An introduction. Transl. from the French
• Geometric Properties of Maximal psh Functions
• A generalized Poincaré-Lelong formula
• Filling hypersurfaces by discs in almost complex manifolds of dimension 2

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