Residue currents and Monge-Ampère operators

DOI10.1016/j.crma.2019.01.011zbMath1423.32029OpenAlexW2913033886MaRDI QIDQ666725

Michel Méo

Publication date: 12 March 2019

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2019.01.011

zbMATH Keywords

complete intersectionsresidue currentscurrents of integration

Mathematics Subject Classification ID

Complex Monge-Ampère operators (32W20) Currents (32U40) Integration on analytic sets and spaces, currents (32C30) Local cohomology of analytic spaces (32C36)

Cites Work

• Monge-Ampère equations in big cohomology classes
• Differential-geometric characterizations of complete intersections
• Algebraic cycles as residues of meromorphic forms
• Every algebraic set in n-space is the intersection of n hypersurfaces
• Oka's inequality for currents and applications
• Residual currents and fundamental class
• On the division of distributions by polynomials
• The currents defined by analytic varieties
• Résidus dans le cas non nécessairement intersection complète
• Foliations and complex monge-ampère equations
• Une généralisation de la loi de transformation pour les résidus
• Analytic residue theory in the non-complete intersection case
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