Coleff-Herrera currents, duality, and noetherian operators

DOI10.24033/bsmf.2618zbMath1241.32007arXiv0902.3064OpenAlexW1530193761MaRDI QIDQ2880702

Mats Andersson

Publication date: 14 April 2012

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0902.3064

zbMATH Keywords

dualityresidue currentsColeff-Herrera currentNoetherian operators

Mathematics Subject Classification ID

Integration on analytic sets and spaces, currents (32C30) Complex spaces (32C15) Residues for several complex variables (32A27)

Related Items (15)

Coleff–Herrera Currents Revisited ⋮ Averaging Residue Currents and the Stückrad–Vogel Algorithm ⋮ A residue criterion for strong holomorphicity ⋮ A pointwise norm on a non-reduced analytic space ⋮ Explicit Serre duality on complex spaces ⋮ The \(\bar{\partial}\)-equation, duality, and holomorphic forms on a reduced complex space ⋮ A Briançon-Skoda-type result for a non-reduced analytic space ⋮ On the duality theorem on an analytic variety ⋮ Norm estimates for the \(\bar{\partial}\)-equation on a non-reduced space ⋮ The \(\bar{\partial }\)-equation on a non-reduced analytic space ⋮ Regularity of pseudomeromorphic currents ⋮ On the Briançon-Skoda theorem on a singular variety ⋮ 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
• Integral representation with weights. II: Division and interpolation
• Les courants residuels associes à une forme méromorphe
• The construction of Noetherian operators
• Uniqueness and factorization of Coleff-Herrera currents
• Decomposition of residue currents
• Residue currents with prescribed annihilator ideals
• Residues, currents, and their relation to ideals of holomorphic functions.
• A local Grothendieck duality for Cohen-Macaulay ideals

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