Details:
Title  Gröbner Bases of Toric Ideals  Author(s)  Loïc Pottier  Type  Technical Report, Misc  Abstract  We study here Groebner bases of ideals which define toric varieties. We connect these ideals with the sublattices 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 .  Keywords  Standard bases, Grobner bases, toric varieties, sucessive
minima  Length  15 
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 Language  English  Year  1994  Edition  0  Translation 
No  Refereed 
No 
