An inductive analytic criterion for flatness

DOI10.1090/S0002-9939-2012-11211-0zbMath1278.13008arXiv1101.1938OpenAlexW2963801414MaRDI QIDQ2846725

Janusz Adamus, Edward Bierstone, Pierre D. Milman

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.1938

zbMATH Keywords

flatnessanalytic algebraWeierstrass Preparation Theoremgeneric flatnesslocal flatteneropenness of flatness

Mathematics Subject Classification ID

Local analytic geometry (32B99) Injective and flat modules and ideals in commutative rings (13C11) Analytic algebras and generalizations, preparation theorems (32B05) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Cites Work

• Unnamed Item
• Invariant solutions of analytic equations
• Flatness and fibred powers over smooth varieties
• Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
• Points de platitude d'un morphisme d'espaces analytiques complexes
• Geometric Auslander criterion for flatness
• Algèbre commutative

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