Hilbert Coefficients of Parameter Ideals

Details Hilbert Coefficients of Parameter Ideals Hilbert Coefficients of Parameter Ideals

2011-11-17

arxiv.org/abs/1111.4186v2

Mathematics

Commutative Algebra

Scientific paper

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 $e_{i}(q) \leq 0$ for $i=1, ..., d$.

Affiliated with

Also associated with

No associations

Rating

Hilbert Coefficients of Parameter Ideals does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hilbert Coefficients of Parameter Ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hilbert Coefficients of Parameter Ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351306