English

Negativity Conjecture for the First Hilbert Coefficient

Commutative Algebra 2015-03-17 v2

Abstract

This gives an alternate proof of the Theorem by the authors that shows the first Hilbert coefficient of parameter ideals in an unmixed Noetherian local ring is always negative unless the ring is Cohen--Macaulay.

Keywords

Cite

@article{arxiv.1005.0105,
  title  = {Negativity Conjecture for the First Hilbert Coefficient},
  author = {L. Ghezzi and S. Goto and J. Hong and K. Ozeki and T. T. Phuong and W. V. Vasconcelos},
  journal= {arXiv preprint arXiv:1005.0105},
  year   = {2015}
}
R2 v1 2026-06-21T15:17:28.003Z