Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications
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Published By Springer International Publishing

9783030575588, 9783030575595

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Chapter II: Minima and Slopes of Rigid Adelic Spaces

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_3 ◽

2020 ◽

pp. 37-76

Author(s):

Éric Gaudron

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Chapter III : Introduction aux théorèmes de Hilbert-Samuel arithmétiques

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_4 ◽

2020 ◽

pp. 77-103

Author(s):

Huayi Chen

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Chapter XI: The Arithmetic Riemann–Roch Theorem and the Jacquet–Langlands Correspondence

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_12 ◽

2020 ◽

pp. 403-432

Author(s):

Gerard Freixas i Montplet

Keyword(s):

Langlands Correspondence ◽

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Chapter VIII : Autour du théorème de Fekete-Szegő

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_9 ◽

2020 ◽

pp. 329-340

Author(s):

Pascal Autissier

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Chapter VII: Arakelov Geometry, Heights, Equidistribution, and the Bogomolov Conjecture

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_8 ◽

2020 ◽

pp. 299-328

Author(s):

Antoine Chambert-Loir

Keyword(s):

Arakelov Geometry ◽

Bogomolov Conjecture

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Chapter X: Arakelov Theory on Shimura Varieties

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_11 ◽

2020 ◽

pp. 377-401

Author(s):

José Ignacio Burgos Gil

Keyword(s):

Shimura Varieties ◽

Arakelov Theory

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Chapter I: Arithmetic Intersection

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_2 ◽

2020 ◽

pp. 9-36

Author(s):

Christophe Soulé

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Chapter V: Beyond Heights: Slopes and Distribution of Rational Points

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_6 ◽

2020 ◽

pp. 215-279

Author(s):

Emmanuel Peyre

Keyword(s):

Rational Points

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Introduction

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_1 ◽

2020 ◽

pp. 1-5

Author(s):

Emmanuel Peyre ◽

Gaël Rémond

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Chapter XII: The Height of CM Points on Orthogonal Shimura Varieties and Colmez’s Conjecture

Lecture Notes in Mathematics - Arakelov Geometry and Diophantine Applications ◽

10.1007/978-3-030-57559-5_13 ◽

2020 ◽

pp. 433-462

Author(s):

Fabrizio Andreatta

Keyword(s):

Shimura Varieties ◽

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