Add to ORKGAbstract. We study the distribution of algebraic points on K3 surfaces. 1. Introduction. Let k be a field and ¯k a fixed algebraic closure of k. We are interested in connections between geometric properties of algebraic varieties and their arithmetic properties over k, over its finite extensions k′/k or over ¯k. Here we study certain varieties of intermediate type, namely K3 surfaces and their higher dimensional generalizations, Calabi-Yau varieties
We give a description of the category of ordinary K3 surfaces over a finite field in terms of linear...
The geometry of vector bundles and derived categories on complex K3 surfaces has developed rapidly s...
AbstractWe prove that for any of a wide class of elliptic surfaces X defined over a number field k, ...
Abstract. We study the distribution of algebraic points on K3 surfaces. 1. Introduction. Let k be a ...
AbstractWe prove that for any of a wide class of elliptic surfaces X defined over a number field k, ...
Abstract. We develop a mixed-characteristic version of the Mori-Mukai technique for producing ration...
Understanding Diophantine equations is one of the fundamental goals of mathematics. Algebraic geomet...
AbstractFor any algebraic variety X defined over a number field K, and height function HD on X corre...
We study the structure of collections of algebraic curves in three dimensions that have many curve-c...
A long-standing question in the theory of rational points of algebraic surfaces is whether a K3 surf...
The central theme of this book is the study of rational points on algebraic varieties of Fano and in...
An erroneous remark has been deleted. The main result concerns now only non-isotrivial elliptic K3 s...
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and...
1 Questions about curves (i) What is meant by the ‘number of points ’ on a curve? (ii) What is the n...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
We give a description of the category of ordinary K3 surfaces over a finite field in terms of linear...
The geometry of vector bundles and derived categories on complex K3 surfaces has developed rapidly s...
AbstractWe prove that for any of a wide class of elliptic surfaces X defined over a number field k, ...
Abstract. We study the distribution of algebraic points on K3 surfaces. 1. Introduction. Let k be a ...
AbstractWe prove that for any of a wide class of elliptic surfaces X defined over a number field k, ...
Abstract. We develop a mixed-characteristic version of the Mori-Mukai technique for producing ration...
Understanding Diophantine equations is one of the fundamental goals of mathematics. Algebraic geomet...
AbstractFor any algebraic variety X defined over a number field K, and height function HD on X corre...
We study the structure of collections of algebraic curves in three dimensions that have many curve-c...
A long-standing question in the theory of rational points of algebraic surfaces is whether a K3 surf...
The central theme of this book is the study of rational points on algebraic varieties of Fano and in...
An erroneous remark has been deleted. The main result concerns now only non-isotrivial elliptic K3 s...
This volume contains papers from the Short Thematic Program on Rational Points, Rational Curves, and...
1 Questions about curves (i) What is meant by the ‘number of points ’ on a curve? (ii) What is the n...
This thesis surveys the issue of finding rational points on algebraic curves over finite fields. Sin...
We give a description of the category of ordinary K3 surfaces over a finite field in terms of linear...
The geometry of vector bundles and derived categories on complex K3 surfaces has developed rapidly s...
AbstractWe prove that for any of a wide class of elliptic surfaces X defined over a number field k, ...