We present some results on projective toric varieties which are relevant in Diophantine geometry. We interpret and study several invariants attached to these varieties in geometrical and combinatorial terms. We also give a Bézout theorem for the Chow weights of projective varieties and an application to the theorem of successive minima
AbstractLet D be an integer matrix. A toric set, namely the points in Kn parametrized by the columns...
In this dissertation we study some invariants of projectivized toric vector bundles such as their gl...
On presente plusieurs facettes des varietes toriques projectives, interessantes du point de vue de l...
We present some results on projective toric varieties which are relevant in Diophantine geometry. We...
Major revisions since last uploaded version. To appear in H.P. Schlickewei, K. Schmidt and R. Tichy ...
Revised version. In French, 25 ppWe compute the successive minima of the projective toric variety $X...
AbstractThe operational Chow cohomology classes of a complete toric variety are identified with cert...
Abstract. We show that the height of a toric variety with respect to a toric metrized line bundle ca...
Toric geometry provides a bridge between algebraic geometry and combinatorics of fans and polytopes....
According to Batyrev the Mori cone of a smooth, complete and projective toric variety can be generat...
We give explicit equations for the Chow and Hilbert quotients of a projective scheme X by the action...
The objective of this essay is to introduce some of the broad theory involving toric varieties, and ...
Toric geometry provides a bridge between algebraic geometry and combina-torics of fans and polytopes...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
The main purpose of this notes is to supplement the paper by Reid: Decomposition of toric morphisms,...
AbstractLet D be an integer matrix. A toric set, namely the points in Kn parametrized by the columns...
In this dissertation we study some invariants of projectivized toric vector bundles such as their gl...
On presente plusieurs facettes des varietes toriques projectives, interessantes du point de vue de l...
We present some results on projective toric varieties which are relevant in Diophantine geometry. We...
Major revisions since last uploaded version. To appear in H.P. Schlickewei, K. Schmidt and R. Tichy ...
Revised version. In French, 25 ppWe compute the successive minima of the projective toric variety $X...
AbstractThe operational Chow cohomology classes of a complete toric variety are identified with cert...
Abstract. We show that the height of a toric variety with respect to a toric metrized line bundle ca...
Toric geometry provides a bridge between algebraic geometry and combinatorics of fans and polytopes....
According to Batyrev the Mori cone of a smooth, complete and projective toric variety can be generat...
We give explicit equations for the Chow and Hilbert quotients of a projective scheme X by the action...
The objective of this essay is to introduce some of the broad theory involving toric varieties, and ...
Toric geometry provides a bridge between algebraic geometry and combina-torics of fans and polytopes...
The thesis provides an introduction into the theory of affine and abstract toric vari- eties. In the...
The main purpose of this notes is to supplement the paper by Reid: Decomposition of toric morphisms,...
AbstractLet D be an integer matrix. A toric set, namely the points in Kn parametrized by the columns...
In this dissertation we study some invariants of projectivized toric vector bundles such as their gl...
On presente plusieurs facettes des varietes toriques projectives, interessantes du point de vue de l...