- Introduction. - Part A Concepts of Arakelov Geometry. - Chapter I: Arithmetic Intersection. - Chapter II: Minima and Slopes of Rigid Adelic Spaces. - Chapter III: Introduction aux théorèmes de Hilbert-Samuel arithmétiques. - Chapter IV: Euclidean Lattices, Theta Invariants, and Thermodynamic Formalism. - Part B Distribution of Rational Points and Dynamics. - Chapter V: Beyond Heights: Slopes and Distribution of Rational Points. - Chapter VI: On the Determinant Method and Geometric Invariant Theory. - Chapter VII: Arakelov Geometry, Heights, Equidistribution, and the Bogomolov Conjecture. - Chapter VIII: Autour du théorème de Fekete-Szeg˝o. - Chapter IX: Some Problems of Arithmetic Origin in Rational Dynamics. - Part C Shimura Varieties. - Chapter XI: The Arithmetic Riemann-Roch Theorem and the Jacquet-Langlands Correspondence. - Chapter XII: The Height of CM Points on Orthogonal Shimura Varieties and Colmez's Conjecture.
- ISBN:
- 9783030575588
- 9783030575588
-
Category:
- Algebraic geometry
- Format:
- Paperback
- Publication Date:
-
11-03-2021
- Language:
- English
- Publisher:
- Springer International Publishing AG
- Country of origin:
- Switzerland
- Dimensions (mm):
- 235x155mm
- Weight:
- 0.74kg
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