We give uniform upper bounds for the number of rational points of height at most B on non-singular complete intersections of two quadrics in P^3 defined over Q. To do this, we combine determinant methods with descent arguments
The present thesis contains three papers dealing with two arithmetic problems on curves of genus one...
AbstractWe exhibit a genus-2 curve C defined over Q(T) which admits two independent morphisms to a r...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
We use a global version of Heath-Brown\u27s p-adic determinant method developed by Salberger to give...
This thesis contains two papers dealing with counting problems for curves of genusone. We obtain uni...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
We prove the Manin-Peyre conjecture for the number of rational points of bounded height outside of a...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
We investigate the Hasse principle for complete intersections cut out by a quadric and cubic hypersu...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...
We construct families of curves which provide counterexamples for a uniform boundedness question. ...
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predi...
We show that the proportion of plane cubic curves over Qpℚp that have a Qpℚp-rational point is a rat...
The present thesis contains three papers dealing with two arithmetic problems on curves of genus one...
AbstractWe exhibit a genus-2 curve C defined over Q(T) which admits two independent morphisms to a r...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
We use a global version of Heath-Brown\u27s p-adic determinant method developed by Salberger to give...
This thesis contains two papers dealing with counting problems for curves of genusone. We obtain uni...
Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational ...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
We prove the Manin-Peyre conjecture for the number of rational points of bounded height outside of a...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
An asymptotic formula is established for the number of rational points of bounded anticanonical heig...
We investigate the Hasse principle for complete intersections cut out by a quadric and cubic hypersu...
This article generalizes the geometric quadratic Chabauty method, initiated over $\mathbb{Q}$ by Edi...
We construct families of curves which provide counterexamples for a uniform boundedness question. ...
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predi...
We show that the proportion of plane cubic curves over Qpℚp that have a Qpℚp-rational point is a rat...
The present thesis contains three papers dealing with two arithmetic problems on curves of genus one...
AbstractWe exhibit a genus-2 curve C defined over Q(T) which admits two independent morphisms to a r...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
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