Details:
Title | | Author(s) | Pottier | Type | Technical Report, Misc | Abstract | We 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 . | Keywords | Standard bases, Grobner bases, toric varieties, sucessive
minima | Length | 15 |
File |
| Language | English | Year | 1994 | Edition | 0 | Translation |
No | Refereed |
No |
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