English

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

Commutative Algebra 2011-06-17 v1

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.

Keywords

Cite

@article{arxiv.1106.3140,
  title  = {Variation of the first Hilbert coefficients of parameters with a common integral closure},
  author = {L. Ghezzi and S. Goto and J. Hong and K. Ozeki and T. T. Phuong and W. V. Vasconcelos},
  journal= {arXiv preprint arXiv:1106.3140},
  year   = {2011}
}