Specialization of integral dependence for modules

DOI10.1007/s002220050335zbMath0980.32009arXivalg-geom/9610003OpenAlexW2019748625WikidataQ64330408 ScholiaQ64330408MaRDI QIDQ1298086

Terence Gaffney, Steven Lawrence Kleiman

Publication date: 6 March 2002

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9610003

zbMATH Keywords

equisingularityhypersurface singularitiesJacobian moduleanalytic familiesinvariants of singularitiesBuchsbaum-Rim multiplicities

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Equisingularity (topological and analytic) (32S15)

Related Items (19)

What is the Rees algebra of a module? ⋮ Asymptotic Behavior of Integral Closures in Modules ⋮ Equisingularity of sections, (𝑡^{𝑟}) condition, and the integral closure of modules ⋮ Associated points and integral closure of modules ⋮ Local polar varieties in the geometric study of singularities ⋮ Specialization and integral closure ⋮ Weak subintegral closure of ideals ⋮ Log canonical threshold and diagonal ideals ⋮ An intrinsic definition of the Rees algebra of a module ⋮ Reduction in Rees algebra of modules ⋮ Generalized Buchsbaum-Rim Multiplicities and a Theorem of Rees ⋮ On the simplication of singularities by blowing up at equimultiple centers ⋮ Integral closure of ideals and equisingularity ⋮ The Multiplicity Polar Theorem and isolated singularities ⋮ The Af condition and relative conormal spaces for functions with nonvanishing derivative ⋮ Lech’s inequality for the Buchsbaum-Rim multiplicity and mixed multiplicity ⋮ On flattening of coherent sheaves and of projective morphisms ⋮ Specialization to the tangent cone and Whitney equisingularity ⋮ Inflectionary Invariants for Isolated Complete Intersection Curve Singularities

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