Add to ORKGWe prove finiteness results on integral points on complements of large divisors in projective varieties over finitely generated fields of characteristic zero. To do so, we prove a function field analogue of arithmetic finiteness results of Corvaja-Zannier and Levin using Wang's function field Subspace Theorem. We then use a method of Evertse-Gy\H{o}ry for concluding finiteness of integral points over finitely generated fields from known finiteness results over number fields
27 pages. Comments welcome!International audienceMotivated by Lang-Vojta's conjecture, we show that ...
International audienceWe give a formula for the number of rational points of projective algebraic cu...
This thesis comes in four parts, which can be read independently of each other. In the first chapter...
We study integral points on varieties with infinite \'etale fundamental groups. More precisely, for ...
Let $A$ be an abelian scheme of dimension at least four over a $\mathbb{Z}$-finitely generated integ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractIn this paper we present a new proof, involving so-called nonstandard arguments, of Siegel's...
We present a number of finiteness results for algebraic tori (and, more generally, for algebraic gro...
We prove finiteness results for sets of varieties over number fields with good reduction outside a g...
ArticleWe investigate sections of arithmetic fundamental groups of hyperbolic curves over function f...
Kobayashi-Ochiai proved that the set of dominant maps from a fixed variety to a fixed variety of gen...
The birational variant of Grothendieck's section conjecture proposes a characterisation of the ratio...
We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of anot...
Using the closed point sieve, we extend to finite fields the following theorem proved by A. Bhatnaga...
AbstractWe prove some finiteness theorems for the étale cohomology, Borel–Moore homology and cohomol...
27 pages. Comments welcome!International audienceMotivated by Lang-Vojta's conjecture, we show that ...
International audienceWe give a formula for the number of rational points of projective algebraic cu...
This thesis comes in four parts, which can be read independently of each other. In the first chapter...
We study integral points on varieties with infinite \'etale fundamental groups. More precisely, for ...
Let $A$ be an abelian scheme of dimension at least four over a $\mathbb{Z}$-finitely generated integ...
We use recent results about linking the number of zeros on algebraic varieties over $\mathbb{C}$, de...
AbstractIn this paper we present a new proof, involving so-called nonstandard arguments, of Siegel's...
We present a number of finiteness results for algebraic tori (and, more generally, for algebraic gro...
We prove finiteness results for sets of varieties over number fields with good reduction outside a g...
ArticleWe investigate sections of arithmetic fundamental groups of hyperbolic curves over function f...
Kobayashi-Ochiai proved that the set of dominant maps from a fixed variety to a fixed variety of gen...
The birational variant of Grothendieck's section conjecture proposes a characterisation of the ratio...
We consider the issue of when the L-polynomial of one curve over Fq divides the L-polynomial of anot...
Using the closed point sieve, we extend to finite fields the following theorem proved by A. Bhatnaga...
AbstractWe prove some finiteness theorems for the étale cohomology, Borel–Moore homology and cohomol...
27 pages. Comments welcome!International audienceMotivated by Lang-Vojta's conjecture, we show that ...
International audienceWe give a formula for the number of rational points of projective algebraic cu...
This thesis comes in four parts, which can be read independently of each other. In the first chapter...