Adjacent integrally closed ideals in 2-dimensional regular local rings

DOI10.1016/j.jalgebra.2005.10.034zbMath1109.13019OpenAlexW1986959452MaRDI QIDQ852666

Sunsook Noh, Kei- ichi Watanabe

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.10.034

zbMATH Keywords

complete (integrally closed) idealsfactorization for complete primary idealsvaluation ideal

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Valuations and their generalizations for commutative rings (13A18) Regular local rings (13H05) Relevant commutative algebra (14A05)

Related Items (3)

One-fibered ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal ⋮ ALMOST ADJACENT IDEALS IN TWO-DIMENSIONAL MUHLY RATIONAL SINGULARITIES ⋮ On Adjacent Ideals in Two-Dimensional Rational Singularities

Cites Work

• Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension 2
• Desingularization of two-dimensional schemes
• Sequence of valuation ideals of prime divisors of the second kind in 2- dimensional regular local rings
• Adjacent integrally closed ideals in dimension two
• Rational singularities, with applications to algebraic surfaces and unique factorization
• Some Numerical Criteria for Contractability of Curves on Algebraic Surfaces
• On Isolated Rational Singularities of Surfaces
• Hilbert-Kunz multiplicity, McKay correspondence and good ideals in two-dimensional rational singularities
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