Parallel Algorithms for Rational Cones and Affine Monoids
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014042212422
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014042212422
| Title: | Parallel Algorithms for Rational Cones and Affine Monoids |
| Other Titles: | Parallele Algorithmen für rationale Kegel und affine Monoide |
| Authors: | Söger, Christof |
| Thesis advisor: | Prof. Dr. Winfried Bruns |
| Thesis referee: | Prof. Dr. Michael Joswig |
| Abstract: | 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. |
| URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014042212422 |
| Subject Keywords: | affine monoid; rational cone; normalization; convex geometry; Hilbert basis; Hilbert series |
| Issue Date: | 22-Apr-2014 |
| License name: | Namensnennung 4.0 International |
| License url: | http://creativecommons.org/licenses/by/4.0/ |
| Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
| Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| thesis_soeger.pdf | Präsentationsformat | 527,66 kB | Adobe PDF | thesis_soeger.pdf  View/Open |
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