Titlebook: Arakelov Geometry and Diophantine Applications; Emmanuel Peyre,Gaël Rémond Book 2021 The Editor(s) (if applicable) and The Author(s), unde

Exaltation

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N斯巴达人

Chapter II: Minima and Slopes of Rigid Adelic Spaces Rémond (2017). We define the Harder-Narasimhan filtration, the slopes and several type of minima associated to such spaces. This formalism generalizes the Minkowski geometry of numbers for ellipsoids, the twisted height theory by Roy and Thunder as well as the slope theory of Hermitian vector bundl

Oligarchy

柔美流畅

Chapter V: Beyond Heights: Slopes and Distribution of Rational Points which are images of non-trivial finite morphisms. The problem is to find a way to characterise the points in these thin subsets. The slopes introduced by Jean-Benoît Bost are a useful tool for this problem. These notes will present several cases in which this approach is fruitful. We shall also des

Reservation

Chapter VIII : Autour du théorème de Fekete-Szegőn « classique » du théorème de Fekete-Szegő. La théorie du potentiel se généralise en fait aux surfaces de Riemann compactes. On explique comment ceci permet d’étendre les énoncés précédents au cas des surfaces arithmétiques. Enfin, on montre un théorème d’équirépartition dû à Bilu et Rumely.

个人长篇演说

Chapter IX: Some Problems of Arithmetic Origin in Rational Dynamicsc equidistribution theory can be used in the dynamics of rational maps on ... We first briefly introduce the basics of the iteration theory of rational maps on the projective line over ., as well as some elements of iteration theory over an arbitrary complete valued field and the construction of dyn

Ledger

桶去微染

课程

Chapter XII: The Height of CM Points on Orthogonal Shimura Varieties and Colmez’s Conjecture in the summer of 2017. They are based on the paper “Faltings’ Heights of Abelian Varieties with Complex Multiplication” by myself, Eyal Goren, Ben Howard and Keerthi Madapusi Pera and on notes by myself and Eyal Goren. No new results are presented. The goal is to describe the strategy to reduce the

个人长篇演说