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TitleGröbner bases specialization through Hilbert functions: the homogeneous case
Author(s) Maria Jose Gonzalez-Lopez, Laureano Gonzalez-Vega, Carlo Traverso, Alberto Zanoni
TypeArticle in Journal
AbstractThis paper shows how to solve homogeneous polynomial systems that contain parameters. The Hilbert function is used to check that the specialization of a 'generic' Groebner basis of the parametric homogeneous polynomial system (computed in a polynomial ring containing the parameters and the unknowns as variables) is a Groebner basis of the specialized homogeneous polynomial system. A preliminary implementation of these algorithms in PoSSoLib is also reported.
KeywordsGrobner Bases, Specialization, Hilbert Function
ISSN0163-5824
LanguageEnglish
JournalSIGSAM Bulletin
SeriesCommunications in Computer Algebra
Volume34
Number1
Pages1-8
PublisherACM Press
AddressNew York, NY, USA
Year2000
MonthMarch
Edition0
Translation No
Refereed No
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