The Rees Valuations of Complete Ideals in a Regular Local Ring
DOI10.1080/00927872.2014.913399zbMath1332.13004arXiv1404.1524OpenAlexW1507349691MaRDI QIDQ5501056
Mee-Kyoung Kim, William J. Heinzer
Publication date: 11 August 2015
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1404.1524
projective equivalencebase pointsfinitely supported ideallocal quadratic transformpoint basisRees valuationtransform of an idealprojectively fullspecial \(\ast\)-simple complete ideal
Multiplicity theory and related topics (13H15) Commutative Noetherian rings and modules (13E05) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)
Related Items (5)
Cites Work
- Integrally closed ideals in regular local rings of dimension two
- The primary components of and integral closures of ideals in 3-dimensional regular local rings
- Integral closedness of complete-intersection ideals
- Factorization of complete ideals
- Birational extensions in dimension two and integrally closed ideals
- Projectively equivalent ideals and Rees valuations
- Clusters of infinitely near points
- Some asymptotic properties of powers of ideals
- On the Valuations Centered in a Local Domain
- Valuations Associated with Ideals (II)
- Fibers Over Closed Points of Birational Morphisms of Nonsingular Varieties
- Product of distinct simple integrally closed ideals in 2-dimensional regular local rings
- Unique factorization of *-products of one-fibered monomial ideals
- *-SIMPLE COMPLETE MONOMIAL IDEALS
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