Parallel Algorithms for Rational Cones and Affine Monoids

This thesis presents parallel algorithms for rational cones and affine monoids which pursue two main computational goals: finding the Hilbert basis, a minimal generating system of the monoid of lattice points of a cone; and counting elements degree-wise in a generating function, the Hilbert series.

Bibliographic Details
Main Author: Söger, Christof
Other Authors: Prof. Dr. Winfried Bruns
Format: Doctoral Thesis
Language:English
Published: 2014
Subjects:
Online Access:https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014042212422