A residue calculus approach to the uniform Artin-Rees lemma

DOI10.1007/s11856-012-0141-xzbMath1280.32003arXiv1106.5154OpenAlexW2078201274WikidataQ124884536 ScholiaQ124884536MaRDI QIDQ375870

Jacob Sznajdman

Publication date: 1 November 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.5154

zbMATH Keywords

Noetherian ringsArtin-Rees lemmaresidue calculus

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Invariants of analytic local rings (32S10) Complex supergeometry (32C11) Residues for several complex variables (32A27)

Related Items (5)

Direct images of semi-meromorphic currents ⋮ An Effective Uniform Artin–Rees Lemma ⋮ A Briançon-Skoda-type result for a non-reduced analytic space ⋮ Computing residue currents of monomial ideals using comparison formulas ⋮ Pseudomeromorphic currents on subvarieties

Cites Work

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• Explicit versions of the Briançon-Skoda theorem with variations
• On the Briançon-Skoda theorem on a singular variety
• Pseudo-rational local rings and a theorem of Briancon-Skoda about integral closures of ideals
• Uniform bounds in noetherian rings
• Residue currents and Bezout identities
• Integral representation with weights. I
• Residue currents and ideals of holomorphic functions
• An elementary proof of the Briançon-Skoda theorem
• Regularizations of residue currents
• Decomposition of residue currents
• Residue currents with prescribed annihilator ideals
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids

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