On powers of prime ideals and rational singularities

DOI10.1016/0021-8693(86)90163-8zbMath0612.13002OpenAlexW2166115224MaRDI QIDQ1087924

Orlando E. Villamayor U.

Publication date: 1986

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90163-8

zbMATH Keywords

resolution of singularitiesrational singularitiesnoetherian ringheight one prime ideal

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Local rings and semilocal rings (13H99)

Cites Work

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• Rational singularities, with applications to algebraic surfaces and unique factorization
• Rationale Singularitäten komplexer Flächen
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• Asymptotic Stability of Ass(M/I n M)
• On Isolated Rational Singularities of Surfaces
• Lectures on Curves on an Algebraic Surface. (AM-59)

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