Geometric Auslander criterion for flatness

DOI10.1353/AJM.2013.0010zbMath1269.32006arXiv0901.2744OpenAlexW2963338738MaRDI QIDQ4907953

Edward Bierstone, Janusz Adamus, Pierre D. Milman

Publication date: 27 February 2013

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

Full work available at URL: https://arxiv.org/abs/0901.2744

zbMATH Keywords

flatness\(n\)-fold fibred product\(n\)-fold tensor power

Mathematics Subject Classification ID

Fibrations, degenerations in algebraic geometry (14D06) Injective and flat modules and ideals in commutative rings (13C11) Complex spaces (32C15) Deformations of submanifolds and subspaces (32G10)

Related Items (4)

Detecting flatness over smooth bases ⋮ Residue currents and fundamental cycles ⋮ An inductive analytic criterion for flatness ⋮ A fast flatness testing criterion in characteristic zero

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