DOIAbstract
We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for a large subfamily of generalised affine Châtelet surfaces is the Brauer–Manin one
We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse principle for a large subfamily of generalised affine Châtelet surfaces is the Brauer–Manin one
A central question in Arithmetic geometry is to determine for which polynomials $f \in \mathbb{Z}[t]...
In [19], Manin introduced a way to explain the failure of the Hasse principle for algebraic varietie...
Let $X$ be a cubic surface over a global field $k$. We prove that a Brauer-Manin obstruction to the ...
We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse pri...
A classical result of Colliot-Thélène and Sansuc states that the only obstruction to the Hasse pri...
It is well-known that the Hasse principle holds for quadric hypersurfaces. The Hasse principle fails...
This dissertation contains results on the integral Hasse principle and strong approximation for gene...
We study the failure of the integral Hasse principle and strong approximation for Markoff surfaces, ...
Quadric hypersurfaces are well-known to satisfy the Hasse principle. However, this is no longer true...
We study Brauer-Manin obstructions to the Hasse principle and to weak approximation on algebraic sur...
We study the distribution of the Brauer group and the frequency of the Brauer--Manin obstruction to ...
AbstractWe construct an Enriques surface X over Q with empty étale-Brauer set (and hence no rational...
We investigate the question of whether the existence of a family of local zero-cycles of degree $d$ ...
We study local-global principles for two notions of semi-integral points, termed Campana points and ...
In this thesis, we study the Hasse principle for curves and K3 surfaces. We give several sufficient ...
A central question in Arithmetic geometry is to determine for which polynomials $f \in \mathbb{Z}[t]...
In [19], Manin introduced a way to explain the failure of the Hasse principle for algebraic varietie...
Let $X$ be a cubic surface over a global field $k$. We prove that a Brauer-Manin obstruction to the ...
We show, conditionally on Schinzel's hypothesis, that the only obstruction to the integral Hasse pri...
A classical result of Colliot-Thélène and Sansuc states that the only obstruction to the Hasse pri...
It is well-known that the Hasse principle holds for quadric hypersurfaces. The Hasse principle fails...
This dissertation contains results on the integral Hasse principle and strong approximation for gene...
We study the failure of the integral Hasse principle and strong approximation for Markoff surfaces, ...
Quadric hypersurfaces are well-known to satisfy the Hasse principle. However, this is no longer true...
We study Brauer-Manin obstructions to the Hasse principle and to weak approximation on algebraic sur...
We study the distribution of the Brauer group and the frequency of the Brauer--Manin obstruction to ...
AbstractWe construct an Enriques surface X over Q with empty étale-Brauer set (and hence no rational...
We investigate the question of whether the existence of a family of local zero-cycles of degree $d$ ...
We study local-global principles for two notions of semi-integral points, termed Campana points and ...
In this thesis, we study the Hasse principle for curves and K3 surfaces. We give several sufficient ...
A central question in Arithmetic geometry is to determine for which polynomials $f \in \mathbb{Z}[t]...
In [19], Manin introduced a way to explain the failure of the Hasse principle for algebraic varietie...
Let $X$ be a cubic surface over a global field $k$. We prove that a Brauer-Manin obstruction to the ...
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