Difference Dimension Quasi-polynomials
Commutative Algebra
2016-09-28 v1
Abstract
We consider Hilbert-type functions associated with difference (not necessarily inversive) field extensions and systems of algebraic difference equations in the case when the translations are assigned some integer weights. We will show that such functions are quasi-polynomials, which can be represented as alternative sums of Ehrhart quasi-polynomials associated with rational conic polytopes. In particular, we obtain generalizations of main theorems on difference dimension polynomials and their invariants to the case of weighted basic difference operators.
Cite
@article{arxiv.1609.08544,
title = {Difference Dimension Quasi-polynomials},
author = {Alexander Levin},
journal= {arXiv preprint arXiv:1609.08544},
year = {2016}
}
Comments
16 pages