We address several questions related to tame base change of Néron models of semiabelian varieties and the existence of Kulikov models of Kummer surfaces. Furthermore, we compare two recent approaches to locating the set of rational points within the set of adelic points of an algebraic variety over a number field.Open Acces
The existence of rational points on the Kummer variety associated to a 22-covering of an abelian var...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
Presenting the first systematic treatment of the behavior of Néron models under ramified base change...
We prove that a Kummer surface defined over a complete strictly Henselian discretely valued field K ...
We study rational points on a smooth variety X over a complete local field K with algebraically clos...
This thesis deals with the question whether certain smooth varieties X over a complete local field K...
This thesis is a collection of various results related to the arithmetic of K3 surfaces and hypersur...
A Kummer variety is the quotient of an abelian variety by the automorphism $(-1)$ acting on it. Kumm...
This dissertation is a collection of four research articles devoted tothe study of Kummer theory for...
International audienceA powerful method pioneered by Swinnerton-Dyer allows one to study rational po...
Fu L, Tian Z, Vial C. Motivic hyper-Kahler resolution conjecture I: Generalized Kummer varieties. GE...
Using Weil descent, we give bounds for the number of rational points on two families of curves over ...
We investigate Néron models of Jacobians of singular curves over strictly Henselian discretely value...
We complete the computation of all $\mathbb{Q}$-rational points on all the $64$ maximal Atkin-Lehner...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
The existence of rational points on the Kummer variety associated to a 22-covering of an abelian var...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
Presenting the first systematic treatment of the behavior of Néron models under ramified base change...
We prove that a Kummer surface defined over a complete strictly Henselian discretely valued field K ...
We study rational points on a smooth variety X over a complete local field K with algebraically clos...
This thesis deals with the question whether certain smooth varieties X over a complete local field K...
This thesis is a collection of various results related to the arithmetic of K3 surfaces and hypersur...
A Kummer variety is the quotient of an abelian variety by the automorphism $(-1)$ acting on it. Kumm...
This dissertation is a collection of four research articles devoted tothe study of Kummer theory for...
International audienceA powerful method pioneered by Swinnerton-Dyer allows one to study rational po...
Fu L, Tian Z, Vial C. Motivic hyper-Kahler resolution conjecture I: Generalized Kummer varieties. GE...
Using Weil descent, we give bounds for the number of rational points on two families of curves over ...
We investigate Néron models of Jacobians of singular curves over strictly Henselian discretely value...
We complete the computation of all $\mathbb{Q}$-rational points on all the $64$ maximal Atkin-Lehner...
This book is motivated by the problem of determining the set of rational points on a variety, but it...
The existence of rational points on the Kummer variety associated to a 22-covering of an abelian var...
Let X_B denote the Shimura curve defined by an indefinite rational quaternion division algebra B. By...
Presenting the first systematic treatment of the behavior of Néron models under ramified base change...
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