Log-concavity of asymptotic multigraded Hilbert series

Details Log-concavity of asymptotic multigraded Hilbert series Log-concavity of asymptotic multigraded Hilbert series

2011-09-19

arxiv.org/abs/1109.4135v1

Mathematics

Commutative Algebra

9 pages

Scientific paper

We study the linear map sending the numerator of the rational function representing the Hilbert series of a module to that of its r-th Veronese submodule. We show that the asymptotic behaviour as r tends to infinity depends on the multidegree of the module and the underlying positively multigraded polynomial ring. More importantly, we give a polyhedral description for the asymptotic polynomial and prove that the coefficients are log-concave. In particular, we extend some results by Beck-Stapledon and Diaconis-Fulman beyond the standard graded situation.

Affiliated with

Also associated with

No associations

Rating

Log-concavity of asymptotic multigraded Hilbert series 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 Log-concavity of asymptotic multigraded Hilbert series, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Log-concavity of asymptotic multigraded Hilbert series will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-97674