Quelques Aspects Diophantiens des VariéTés Toriques Projectives

DOI10.1007/978-3-211-74280-8_17zbMath1153.11029arXivmath/0411084OpenAlexW2951345696MaRDI QIDQ3530440

Martín Sombra, Patrice Philippon

Publication date: 20 October 2008

Published in: Diophantine Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411084

zbMATH Keywords

mixed volumesuccessive minimaChow weightnormalized heightToric varietiesmultiheights, arithmetic Hilbert functionsobstruction index

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Heights (11G50) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)

Related Items (4)

Factoring bivariate sparse (lacunary) polynomials ⋮ A refinement of the Bernštein-Kušnirenko estimate ⋮ Diophantine geometry and toric varieties. ⋮ Successive minima of toric height functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sur des hauteurs alternatives. I. (On alternative heights. I)
• Algebraic subgroups of commutative algebraic groups
• The topology of torus actions on symplectic manifolds. Transl. from the French by the author
• Diophantine approximations and diophantine equations
• Chow polytopes and general resultants
• Stability of projective varieties
• On the Newton polytope of the resultant
• Diophantine approximations and toric deformations
• Diophantine geometry and toric varieties.
• Scalar curvature and stability of toric varieties.
• Binomial ideals
• Introduction to Toric Varieties. (AM-131)
• Une majoration de la fonction de Hilbert et ses conséquences pour l'interpolation algébrique
• Minimum essentiel et degrés d'obstruction des translatés de sous-tores
• MINORATION DE LA HAUTEUR NORMALISE DANS UN TORE
• Positive Line Bundles on Arithmetic Varieties
• HAUTEUR NORMALISÉE DES VARIÉTÉS TORIQUES PROJECTIVES
• Minimums successifs des variétés toriques projectives
• Introduction to algebraic independence theory. With contributions from F. Amoroso, D. Bertrand, W. D. Brownawell, G. Diaz, M. Laurent, Yu. V. Nesterenko, K. Nishioka, P. Philippon, G. Rémond, D. Roy, M. Waldschmidt

This page was built for publication: Quelques Aspects Diophantiens des VariéTés Toriques Projectives