Regularization of closed positive currents and intersection theory

DOI10.1515/coma-2017-0008zbMath1454.32005OpenAlexW2736570495MaRDI QIDQ1683999

Michel Méo

Publication date: 4 December 2017

Published in: Complex Manifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/coma-2017-0008

zbMATH Keywords

Chern classpositive currentGreen operatorresidue currentmodificationMacPherson graph construction

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25) Currents (32U40) Integration on analytic sets and spaces, currents (32C30)

Cites Work

• Residue currents and King's formula
• Riemann-Roch for singular varieties
• Oka's inequality for currents and applications
• On the tangent cone with a closed positive current
• An arithmetic Riemann-Roch theorem
• Hermitian vector bundles and the equidistribution of the zeroes of their holomorphic section
• Regularization of currents and entropy
• Residue currents with prescribed annihilator ideals
• A generalized Poincaré-Lelong formula
• Heights of Projective Varieties and Positive Green Forms
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète
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