Variation of the first Hilbert coefficients of parameters with a common integral closure

2011/06/16 by Ghezzi, L., Goto, S., Hong, J. +3
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1106.3140

Abstract

A problem posed by Wolmer V. Vasconcelos on the variation of the first Hilbert coefficients of parameter ideals with a common integral closure in a local ring is studied. Affirmative answers are given and counterexamples are explored as well.

Related

• Bounding the First Hilbert Coefficient
• Variation of Hilbert Coefficients
• Bounds for the first Hilbert coefficients of \mathfrak m-primary ideals
• Hilbert Coefficients and Depth of the Associated Graded Ring of an Ideal
• Hilbert Coefficients of Parameter Ideals