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

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https://doi.org/10.1007/978-3-030-57559-5Arakelov Geometry; Diophantine Geometry; Heights; Rational Points; Shimura Varieties

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Arakelov Geometry and Diophantine Applications978-3-030-57559-5Series ISSN 0075-8434 Series E-ISSN 1617-9692

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Risk Analysis in Esophageal Surgery,Arakelov geometry may be seen as a bridge between algebraic geometry and Diophantine geometry. The aim of this volume is to present in a quite self-contained form some striking examples of current Diophantine problems to which Arakelov geometry has been or may be applied.

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Benedetto Mungo MD,Daniela Molena MDLe but de ce chapitre est d’expliquer quelques théorèmes de type Hilbert-Samuel, qui étudient le comportement asymptotique d’un système linéaire gradué éventuellement métrisé, dans différents contextes : géométrie algébrique, géométrie analytique et géométrie arithmétique.

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