Variation of Hilbert Coefficients

L. Ghezzi; S. Goto; J. Hong; W. V. Vasconcelos

Variation of Hilbert Coefficients

Commutative Algebra 2012-03-27 v1

Authors: L. Ghezzi , S. Goto , J. Hong , W. V. Vasconcelos

Abstract

For a Noetherian local ring $(\RR, \m)$ , the first two Hilbert coefficients, $e_0$ and $e_1$ , of the $I$ -adic filtration of an $\m$ -primary ideal $I$ are known to code for properties of $\RR$ , of the blowup of $\spec(\RR)$ along $V(I)$ , and even of their normalizations. We give estimations for these coefficients when $I$ is enlarged (in the case of $e_1$ in the same integral closure class) for general Noetherian local rings.

Keywords

commutative algebra hilbert functions

Cite

@article{arxiv.1203.5578,
  title  = {Variation of Hilbert Coefficients},
  author = {L. Ghezzi and S. Goto and J. Hong and W. V. Vasconcelos},
  journal= {arXiv preprint arXiv:1203.5578},
  year   = {2012}
}

Related papers

View all related →