Finitely supported \(\ast\)-simple complete ideals in a regular local ring

DOI10.1016/j.jalgebra.2013.11.010zbMath1314.13009arXiv1308.6613OpenAlexW2962796240MaRDI QIDQ397973

William J. Heinzer, Mee-Kyoung Kim, Matthew Toeniskoetter

Publication date: 12 August 2014

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

Full work available at URL: https://arxiv.org/abs/1308.6613

zbMATH Keywords

monomial idealbase pointsfinitely supported ideallocal quadratic transformpoint basisRees valuationtransform of an idealspecial *-simple complete ideal

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Regular local rings (13H05)

Related Items (7)

Blowing up finitely supported complete ideals in a regular local ring ⋮ Asymptotic properties of infinite directed unions of local quadratic transforms ⋮ Remark on Rees valuations of finitely supported complete monomial ideals in a regular local ring ⋮ Finitely supported \(\ast\)-simple complete ideals and multiplicities in a regular local ring ⋮ Directed unions of local quadratic transforms of a regular local ring ⋮ Noetherian intersections of regular local rings of dimension two ⋮ Ideal theory of infinite directed unions of local quadratic transforms

Cites Work

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• The primary components of and integral closures of ideals in 3-dimensional regular local rings
• Factorization of complete ideals
• Integral closure of monomial ideals on regular sequences
• Clusters of infinitely near points
• On the Valuations Centered in a Local Domain
• Fibers Over Closed Points of Birational Morphisms of Nonsingular Varieties
• Unique factorization of *-products of one-fibered monomial ideals
• The Rees Valuations of Complete Ideals in a Regular Local Ring
• *-SIMPLE COMPLETE MONOMIAL IDEALS

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