Pseudomeromorphic currents on subvarieties

DOI10.1080/17476933.2016.1170822zbMath1345.32004arXiv1401.0618OpenAlexW2270283203MaRDI QIDQ2816597

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Publication date: 25 August 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0618

zbMATH Keywords

subvarietycurrentresidueanalytic space

Mathematics Subject Classification ID

Analytic subsets and submanifolds (32C25) Analytic subsets of affine space (32B15) Integration on analytic sets and spaces, currents (32C30) Residues for several complex variables (32A27)

Related Items (3)

Direct images of semi-meromorphic currents ⋮ Explicit Serre duality on complex spaces ⋮ The \(\bar{\partial }\)-equation on a non-reduced analytic space

Cites Work

• A residue calculus approach to the uniform Artin-Rees lemma
• Residue currents associated with weakly holomorphic functions
• On the Briançon-Skoda theorem on a singular variety
• Residue currents of the Bochner-Martinelli type
• Residue currents and ideals of holomorphic functions
• Strong resolution of singularities in characteristic zero
• A Dolbeault-Grothendieck lemma on complex spaces via Koppelman formulas
• On the duality theorem on an analytic variety
• Global effective versions of the Briançon-Skoda-Huneke theorem
• A simplified proof of desingularization and applications
• Residue currents with prescribed annihilator ideals

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