Uniqueness and factorization of Coleff-Herrera currents

DOI10.5802/afst.1219zbMath1187.32026arXiv0711.2440OpenAlexW2119809421MaRDI QIDQ2655876

Mats Andersson

Publication date: 26 January 2010

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.2440

zbMATH Keywords

complete intersectionColeff-Herrera productsheaf of currentsColeff-Herrera currentstandard extension propertyfactorization of currentspure codimension

Mathematics Subject Classification ID

Currents (32U40)

Related Items (16)

Coleff-Herrera currents, duality, and noetherian operators ⋮ Coleff–Herrera Currents Revisited ⋮ Residue currents and cycles of complexes of vector bundles ⋮ A residue criterion for strong holomorphicity ⋮ On Bochner-Martinelli residue currents and their annihilator ideals ⋮ A pointwise norm on a non-reduced analytic space ⋮ Direct images of semi-meromorphic currents ⋮ The \(\bar{\partial}\)-equation, duality, and holomorphic forms on a reduced complex space ⋮ A Briançon-Skoda-type result for a non-reduced analytic space ⋮ Norm estimates for the \(\bar{\partial}\)-equation on a non-reduced space ⋮ The \(\bar{\partial }\)-equation on a non-reduced analytic space ⋮ Residue currents associated with weakly holomorphic functions ⋮ Residue currents with prescribed annihilator ideals on singular varieties ⋮ Residue currents and fundamental cycles ⋮ Integral representation of moderate cohomology ⋮ A comparison formula for residue currents

Cites Work

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• Canonical representatives in moderate cohomology
• Regularizations of products of residue and principal value currents
• Fonctions de type trace
• Les courants residuels associes à une forme méromorphe
• Residue currents of the Bochner-Martinelli type
• Residue currents and ideals of holomorphic functions
• Residues, currents, and their relation to ideals of holomorphic functions.
• A calculus for meromorphic currents.
• Residue Integrals and their Mellin Transforms

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