A uniform Artin-Rees theorem and Zariski's main lemma on holomorphic functions

DOI10.1007/BF01389183zbMath0611.14001OpenAlexW2101056547WikidataQ124828304 ScholiaQ124828304MaRDI QIDQ1087596

Liam O'Carroll

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143526

zbMATH Keywords

singular lociWhitney stratificationArtin-Rees theoremZariski's main lemma on holomorphic functions

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Relevant commutative algebra (14A05)

Related Items (4)

A uniform Artin-Rees property for syzygies in rings of dimension one and two ⋮ Uniform Artin-Rees bounds for syzygies ⋮ Integral degree of a ring, reduction numbers and uniform Artin-Rees numbers ⋮ Uniform bounds in noetherian rings

Cites Work

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• A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions
• Hilbert functions and Betti numbers in a flat family
• On normal flatness and normal torsion-freeness
• The theory of d-sequences and powers of ideals
• A fundamental lemma from the theory of holomorphic functions on an algebraic variety

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