Rees algebras on smooth schemes: Integral closure and higher differential operator

DOI10.4171/RMI/534zbMath1151.14013arXivmath/0606795MaRDI QIDQ935486

Orlando E. Villamayor U.

Publication date: 6 August 2008

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606795

zbMATH Keywords

differential operatorRees algebradifferential algebracoefficientsintegral closure

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Commutative rings of differential operators and their modules (13N10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items (12)

Nash multiplicities and resolution invariants ⋮ Hypersurface singularities in positive characteristic ⋮ The \(\tau \)-invariant and elimination ⋮ Techniques for the study of singularities with applications to resolution of 2-dimensional schemes ⋮ 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 ⋮ Singularities in positive characteristic, stratification and simplification of the singular locus ⋮ Finite morphisms and Nash multiplicity sequences ⋮ Equivalence and resolution of singularities ⋮ Contact loci and Hironaka's order ⋮ Monoidal transforms and invariants of singularities in positive characteristic

Cites Work

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• A Note on the Behaviour Under a Ground Field Extension of Quasicoefficient Fields
• Localization of the Hasse-Schmidt Algebra
• THEORY OF INFINITELY NEAR SINGULAR POINTS
• Simple Hironaka resolution in characteristic zero

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