Hilbert Coefficients of Parameter Ideals
Commutative Algebra
2012-02-09 v2
Abstract
We consider the non-positivity of the Hilbert coefficients for a parameter ideal of a commutative Noetherian local ring. In particular, we show that the second Hilbert coefficient of a parameter ideal of depth at least d-1 is always non-positive and give a condition for the coefficient to be zero. With the added condition that the depth of the associated graded ring is also at least d- we show for .
Keywords
Cite
@article{arxiv.1111.4186,
title = {Hilbert Coefficients of Parameter Ideals},
author = {Lori McCune},
journal= {arXiv preprint arXiv:1111.4186},
year = {2012}
}