Add to ORKG27 p. Grenoble Summer school (2017) on Arakelov geometry and its arithmetic applicationsThis is an introduction to the topics of the title, from the 2017 Grenoble Summer school on Arakelov geometry and arithmetic applications. We review Arithmetic intersection numbers, explain the definition of the height of a variety and its properties, both in the framework of classical Arakelov geometry and of Zhang's adelic formalism. We then discuss arithmetic ampleness and its application to the equidistribution theorem of Szpiro-Ullmo-Zhang-Yuan, both at complex and nonarchimedean places. We conclude with Ullmo-Zhang's proof of the Bogomolov conjecture over number fields
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
We present in this article several possibilities to approach the height of an algebraic curve define...
We present in this article several possibilities to approach the height of an algebraic curve define...
The main goal of this book is to present the so-called birational Arakelov geometry, which can be vi...
In the work of Edixhoven, Couveignes et al. (see [5] and [4]) on computing two-dimensional Galois re...
AbstractThis paper is devoted to the statement known as the Bogomolov conjecture on small points. We...
This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present...
This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present...
The purpose of this book is to build up the fundament of an Arakelov theory over adelic curves in or...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
We present in this article several possibilities to approach the height of an algebraic curve define...
We present in this article several possibilities to approach the height of an algebraic curve define...
The main goal of this book is to present the so-called birational Arakelov geometry, which can be vi...
In the work of Edixhoven, Couveignes et al. (see [5] and [4]) on computing two-dimensional Galois re...
AbstractThis paper is devoted to the statement known as the Bogomolov conjecture on small points. We...
This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present...
This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present...
The purpose of this book is to build up the fundament of an Arakelov theory over adelic curves in or...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
Let X be an algebraic curve of genus g⩾2 embedded in its Jacobian variety J. The Manin-Mumford conje...
We present in this article several possibilities to approach the height of an algebraic curve define...
We present in this article several possibilities to approach the height of an algebraic curve define...