Article
Licensed
Unlicensed
Requires Authentication
Minimums successifs des variétés toriques projectives
-
Martín Sombra
Published/Copyright:
November 23, 2005
Abstract
Successive minima of projective toric
varieties. We compute the successive minima of the projective toric
variety 
associated to a finite set 
⊂ ℤn. As a consequence
of this computation and of the results of S.-W.
Zhang on the distribution of small points, we derive estimates for
the height of the subvariety and of the -resultant. These estimates allow
us to obtain an arithmetic analogue of the Bézout-Kushnirenko’s theorem concerning the number of
solutions of a system of polynomial equations.
As an application of this result, we improve the known estimates for the height of the polynomials in the sparse Nullstellensatz.
:
Published Online: 2005-11-23
Published in Print: 2005-09-27
Walter de Gruyter GmbH & Co. KG
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- On saturation and the model theory of compact Kähler manifolds
- On the inverse problem in di¤erential Galois theory
- Block representation type of Frobenius kernels of smooth groups
- Mean curvature flow with free boundary on smooth hypersurfaces
- Geometric proofs of reciprocity laws
- L2-homology for von Neumann algebras
- Divisors on the moduli spaces of stable maps to flag varieties and reconstruction
- Minimums successifs des variétés toriques projectives
Articles in the same Issue
- On saturation and the model theory of compact Kähler manifolds
- On the inverse problem in di¤erential Galois theory
- Block representation type of Frobenius kernels of smooth groups
- Mean curvature flow with free boundary on smooth hypersurfaces
- Geometric proofs of reciprocity laws
- L2-homology for von Neumann algebras
- Divisors on the moduli spaces of stable maps to flag varieties and reconstruction
- Minimums successifs des variétés toriques projectives
