Classifying singularities up to analytic extensions of scalars is smooth

DOI10.1016/J.APAL.2011.02.005zbMath1228.14007arXivmath/0508236OpenAlexW1998469419MaRDI QIDQ639682

Hans Schoutens

Publication date: 22 September 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0508236

zbMATH Keywords

jetsclassification of singularitiessmooth equivalence relationultraproductscataproductsformally etale extensions

Mathematics Subject Classification ID

Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Ultraproducts and related constructions (03C20) Deformations of singularities (14B07) Étale and flat extensions; Henselization; Artin approximation (13B40)

Related Items (5)

The motivic Igusa zeta series of some hypersurfaces non-degenerated with respect to their Newton polyhedron ⋮ Nilpotence of Frobenius action and the Hodge filtration on local cohomology ⋮ A differential-algebraic criterion for obtaining a small Cohen-Macaulay module ⋮ Dimension and singularity theory for local rings of finite embedding dimension ⋮ Hochster’s small MCM conjecture for three-dimensional weakly F-split rings

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