Normaliz 2013-2016
Winfried Bruns, Richard Sieg, Christof S\"oger
TL;DR
This paper details mathematical extensions to Normaliz, including nonpointed cones, rational polyhedra, and class groups, developed during a specific research support program.
Contribution
It introduces several new mathematical features and capabilities to Normaliz, enhancing its utility in algebraic and geometric computations.
Findings
Added support for nonpointed cones and rational polyhedra
Implemented computations for class groups and module generators
Extended Normaliz's functionality in algebraic geometry and number theory
Abstract
In this article we describe mathematically relevant extensions to Normaliz that were added to it during the support by the DFG SPP "Algorithmische und Experimentelle Methoden in Algebra, Geometrie und Zahlentheorie": nonpointed cones, rational polyhedra, homogeneous systems of parameters, bottom decomposition, class groups and systems of module generators of integral closures.
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Taxonomy
TopicsAdvanced Theoretical and Applied Studies in Material Sciences and Geometry