On Rees algebras and invariants for singularities over perfect fields

DOI10.1512/iumj.2012.61.4752zbMath1315.14023arXiv1107.1797OpenAlexW2964306524MaRDI QIDQ2841855

M. L. Garcia-Escamilla, Orlando E. Villamayor U., Ana Bravo

Publication date: 30 July 2013

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.1797

zbMATH Keywords

equivalenceresolution of singularitiesdifferential operatorsRees algebraintegral closure

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Singularities of surfaces or higher-dimensional varieties (14J17) Derivations and commutative rings (13N15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (10)

Nash multiplicities and resolution invariants ⋮ Idealistic exponents: tangent cone, ridge, characteristic polyhedra ⋮ An Introduction to Resolution of Singularities via the Multiplicity ⋮ On the problem of resolution of singularities: its development and current status (from a myopic point of view of one researcher struggling with the problem) ⋮ Nash multiplicities and isolated points of maximum multiplicity ⋮ On the highest multiplicity locus of algebraic varieties and Rees algebras ⋮ Equimultiplicity, algebraic elimination, and blowing-up ⋮ Finite morphisms and Nash multiplicity sequences ⋮ On the simplication of singularities by blowing up at equimultiple centers ⋮ Contact loci and Hironaka's order

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