Hermite normal forms and $δ$-vector

Details Hermite normal forms and $δ$-vector Hermite normal forms and $δ$-vector

2010-09-30

arxiv.org/abs/1009.6023v2

Mathematics

Combinatorics

Scientific paper

Let $\delta(\Pc) = (\delta_0, \delta_1,..., \delta_d)$ be the $\delta$-vector of an integral polytope $\Pc \subset \RR^N$ of dimension $d$. Following the previous work of characterizing the $\delta$-vectors with $\sum_{i=0}^d \delta_i \leq 3$, the possible $\delta$-vectors with $\sum_{i=0}^d \delta_i = 4$ will be classified. And each possible $\delta$-vectors can be obtained by simplices. We get this result by studying the problem of classifying the possible integral simplices with a given $\delta$-vector $(\delta_0, \delta_1,..., \delta_d)$, where $\sum_{i=0}^d \delta_i \leq 4$, by means of Hermite normal forms of square matrices.

Affiliated with

Also associated with

No associations

Rating

Hermite normal forms and $δ$-vector 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 Hermite normal forms and $δ$-vector, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hermite normal forms and $δ$-vector will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-242124