ALMOST ADJACENT IDEALS IN TWO-DIMENSIONAL MUHLY RATIONAL SINGULARITIES

DOI10.1142/S0219498813501156zbMath1300.13018MaRDI QIDQ5414202

Veronique Van Lierde

Publication date: 2 May 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

rational singularitycomplete idealsalmost adjacent ideals

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Singularities in algebraic geometry (14B05) Regular local rings (13H05)

Cites Work

• Degree functions and projectively full ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal
• Adjacent integrally closed ideals in 2-dimensional regular local rings
• First neighborhood complete ideals in two-dimensional Muhly local domains
• Semifactoriality and Muhly's condition (N) in two dimensional local rings
• On sandwiched singularities and complete ideals.
• Adjacent integrally closed ideals in dimension two
• Rational singularities, with applications to algebraic surfaces and unique factorization
• A mixed multiplicity formula for complete ideals in 2-dimensional rational singularities
• On Adjacent Ideals in Two-Dimensional Rational Singularities
• Joint reductions of complete ideals
• On a Theorem of B. Teissier on Multiplicities of Ideals in Local Rings
• Polynomial Ideals Defined by Infinitely Near Base Points

This page was built for publication: ALMOST ADJACENT IDEALS IN TWO-DIMENSIONAL MUHLY RATIONAL SINGULARITIES