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.
| Identifer | oai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-2014042212422 |
| Date | 22 April 2014 |
| Creators | Söger, Christof |
| Contributors | Prof. Dr. Winfried Bruns, Prof. Dr. Michael Joswig |
| Source Sets | Universität Osnabrück |
| Language | English |
| Detected Language | English |
| Type | doc-type:doctoralThesis |
| Format | application/pdf, application/zip |
| Rights | Namensnennung 4.0 International, http://creativecommons.org/licenses/by/4.0/ |
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