Normality of Monomial Ideals

Details Normality of Monomial Ideals Normality of Monomial Ideals

2010-09-03

arxiv.org/abs/1009.0786v1

Mathematics

Commutative Algebra

Scientific paper

Given the monomial ideal I=(x_1^{{\alpha}_1},...,x_{n}^{{\alpha}_{n}})\subset K[x_1,...,x_{n}] where {\alpha}_{i} are positive integers and K a field and let J be the integral closure of I . It is a challenging problem to translate the question of the normality of J into a question about the exponent set {\Gamma}(J) and the Newton polyhedron NP(J). A relaxed version of this problem is to give necessary or sufficient conditions on {\alpha}_1,...,{\alpha}_{n} for the normality of J. We show that if {\alpha}_{i}\epsilon{s,l} with s and l arbitrary positive integers, then J is normal.

Affiliated with

Also associated with

No associations

Rating

Normality of Monomial 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 Normality of Monomial Ideals, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Normality of Monomial Ideals will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284475