An elementary proof of the Briançon-Skoda theorem

DOI10.5802/afst.1262zbMath1250.32006arXiv0807.0142OpenAlexW2962834242MaRDI QIDQ2430124

Jacob Sznajdman

Publication date: 5 April 2011

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/0807.0142

zbMATH Keywords

Briançon-Skoda theoremgerms of holomorphic functionsintegral closure

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Germs of analytic sets, local parametrization (32B10) Power series, series of functions of several complex variables (32A05) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items (3)

On the Briançon-Skoda theorem for analytic local rings with singularities ⋮ A residue calculus approach to the uniform Artin-Rees lemma ⋮ On the Briançon-Skoda theorem on a singular variety

Cites Work

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• A formula for interpolation and division in \({\mathbb C}^n\).
• Residue currents and Bezout identities
• Integral representation with weights. I
• A non-standard proof of the Briançon-Skoda theorem
• Application des techniques $L^2$ à la théorie des idéaux d'une algèbre de fonctions holomorphes avec poids

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