Ideals of smooth functions and residue currents

DOI10.1016/j.jfa.2003.07.014zbMath1056.32006OpenAlexW2057177936MaRDI QIDQ1883216

Mats Andersson

Publication date: 1 October 2004

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.07.014

zbMATH Keywords

complete intersectionKoszul complexresidue currentideal of holomorphic functionsColeff-Herrera currentexplicit division formulaexplicit homotopy operatorhomotopy formulas for smooth functionsideal of smooth functions

Mathematics Subject Classification ID

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

Related Items (6)

The membership problem for polynomial ideals in terms of residue currents ⋮ Integral representation with weights. II: Division and interpolation ⋮ Direct images of semi-meromorphic currents ⋮ Residue currents with prescribed annihilator ideals ⋮ The flatness of the \(\mathcal{O}\)-module of smooth functions and integral representation ⋮ Residue currents and ideals of holomorphic functions

Cites Work

• A formula for interpolation and division in \({\mathbb C}^n\).
• Integral formulas and an explicit version of the fundamental principle
• Residue currents and Bezout identities
• Integral representation with weights. I
• Residue currents of the Bochner-Martinelli type
• Residue currents and ideals of holomorphic functions
• Residues, currents, and their relation to ideals of holomorphic functions.
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