Add to ORKGInternational audienceLet V be an algebraic subvariety of a torus and denote by V^* the complement in V of the Zariski closure of the set of torsion points of V . By a theorem of Zhang, V^* is discrete for the metric induced by the normalized height. We describe some quantitative versions of this result, close to the conjectural bounds, and we discuss some applications to study of the class group of some number fields
In this paper we are motivated by the following problem: Let A/K be an abelian variety defined over ...
We prove several results concering class groups of number fields and function fields. Firstly we com...
We prove an extension of a result due to Allcock and Vaaler from 2009. In the main theorem we show t...
International audienceLet V be an algebraic subvariety of a torus and denote by V^* the complement i...
International audienceLet V be a subvariety of a torus defined over the algebraic numbers. We give a...
International audienceLet V be a subvariety of a torus defined over the rational numbers. We study t...
AbstractWe obtain a lower bound for the normalised height of a non-torsion subvariety V of a C.M. ab...
We give a more simple proof of slightly improved (and explicit) versions of the main results of two ...
In this thesis, we will focus on points of small height in both multiplicative group and on an ellip...
The starting point of this thesis is the study of Lehmer's problem in dimension greater than two. It...
Dans cette thèse, on s'intéressera aux points de petite hauteur dans le groupe multiplicatif et sur ...
Let T be an algebraic torus over ℚ such that T(ℝ) is compact. Assuming the generalized Riemann hypot...
15 pages, proof of lemme 3 correctedWe obtain a lower bound for the normalised height of a non-torsi...
In ``Positive line bundles on arithmetic varieties" [J. Am. Math. Soc. 8, 187-221 (1995; Zbl 0861.14...
This book gathers original research papers and survey articles presented at the “International Confe...
In this paper we are motivated by the following problem: Let A/K be an abelian variety defined over ...
We prove several results concering class groups of number fields and function fields. Firstly we com...
We prove an extension of a result due to Allcock and Vaaler from 2009. In the main theorem we show t...
International audienceLet V be an algebraic subvariety of a torus and denote by V^* the complement i...
International audienceLet V be a subvariety of a torus defined over the algebraic numbers. We give a...
International audienceLet V be a subvariety of a torus defined over the rational numbers. We study t...
AbstractWe obtain a lower bound for the normalised height of a non-torsion subvariety V of a C.M. ab...
We give a more simple proof of slightly improved (and explicit) versions of the main results of two ...
In this thesis, we will focus on points of small height in both multiplicative group and on an ellip...
The starting point of this thesis is the study of Lehmer's problem in dimension greater than two. It...
Dans cette thèse, on s'intéressera aux points de petite hauteur dans le groupe multiplicatif et sur ...
Let T be an algebraic torus over ℚ such that T(ℝ) is compact. Assuming the generalized Riemann hypot...
15 pages, proof of lemme 3 correctedWe obtain a lower bound for the normalised height of a non-torsi...
In ``Positive line bundles on arithmetic varieties" [J. Am. Math. Soc. 8, 187-221 (1995; Zbl 0861.14...
This book gathers original research papers and survey articles presented at the “International Confe...
In this paper we are motivated by the following problem: Let A/K be an abelian variety defined over ...
We prove several results concering class groups of number fields and function fields. Firstly we com...
We prove an extension of a result due to Allcock and Vaaler from 2009. In the main theorem we show t...