Janet Bases of Toric Ideals
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
Abstract
In this paper we present a version of the general polynomial involutive algorithm for computing Janet bases specialized to toric ideals. The relevant data structures are Janet trees which provide a very fast search for a Janet divisor. We broach also efficiency issues in view of application of the algorithm presented to computation of toric ideals.
Keywords
Cite
@article{arxiv.math/0501180,
title = {Janet Bases of Toric Ideals},
author = {Vladimir P. Gerdt and Yuri A. Blinkov},
journal= {arXiv preprint arXiv:math/0501180},
year = {2007}
}
Comments
11 pages, Proceedings of the 8th Rhine Workshop on Computer Algebra (Mannheim, Germany, March 21-22, 2002), H.Kredel and W.K.Seiler (Eds.), University of Mannheim, 2002, pp.125-135