A generalized Poincaré-Lelong formula
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Publication:3534706
DOI10.7146/math.scand.a-15040zbMath1157.32011arXivmath/0412446OpenAlexW1548041236MaRDI QIDQ3534706
Publication date: 4 November 2008
Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0412446
holomorphic vector bundleresidue currentBott--Chern classPoincaré--Lelong formulaprincipal value current
Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)
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Regularization of closed positive currents and intersection theory ⋮ Super-potentials of positive closed currents, intersection theory and dynamics ⋮ An explicit Koppelman formula for \(dd^{c}\) and Green currents on \(\mathbb {P}^{n}\) ⋮ Lelong-Poincaré formula in symplectic and almost complex geometry ⋮ Poincaré-Lelong formula, \(J\)-analytic subsets and Lelong numbers of currents on almost complex manifolds
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