On Adjacent Ideals in Two-Dimensional Rational Singularities

DOI10.1080/00927870903392476zbMath1201.13007OpenAlexW2083885194MaRDI QIDQ3406599

Veronique Van Lierde, Raymond Debremaeker

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1080/00927870903392476

zbMATH Keywords

degree functionrational singularitycomplete idealsadjacent ideal

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15)

Related Items

Degree functions and projectively full ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal ⋮ Some characterizations of first neighborhood complete ideals in dimension two ⋮ 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 ⋮ First neighborhood complete ideals in two-dimensional Muhly local domains ⋮ Quasi-one-fibered ideals in two-dimensional Muhly local domains

Cites Work

• Adjacent integrally closed ideals in 2-dimensional regular local rings
• Semifactoriality and Muhly's condition (N) in two dimensional local rings
• Coefficient ideals in and blowups of a commutative Noetherian domain
• On sandwiched singularities and complete ideals.
• Adjacent integrally closed ideals in dimension two
• Rational singularities, with applications to algebraic surfaces and unique factorization
• A new characterization of rational surface singularities
• Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two
• On a Theorem of B. Teissier on Multiplicities of Ideals in Local Rings

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