Home | Quick Search | Advanced Search | Bibliography submission | Bibliography submission using bibtex | Bibliography submission using bibtex file | Links | Help | Internal

Details:

   
TitleGröbner Bases of Toric Ideals
Author(s) Loïc Pottier
TypeTechnical Report, Misc
AbstractWe study here Groebner bases of ideals which define toric varieties. We connect these ideals with the sub-lattices of Z^d , then deduce properties on their Groebner bases, and give applications of these results. The main contributions of the report are a bound on the degree of the Groebner bases, the fact that they contain Minkowski successive minima of a lattice (in particular shortest vector), and the algorithm (derived from Buchberger algorithm), which starts with ideal of polynomials with less variables than usual .
KeywordsStandard bases, Grobner bases, toric varieties, sucessive minima
Length15
File
LanguageEnglish
Year1994
Edition0
Translation No
Refereed No
Webmaster