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

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Surgery: Minimally Invasive Esophagectomy,istribution of preperiodic orbits, leading to some non-trivial rigidity statements. We then explain some consequences of arithmetic equidistribution to the study of the geometry of parameter spaces of such dynamical systems, notably pertaining to the distribution of special parameters and the classification of special subvarieties.

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Chapter XI: The Arithmetic Riemann–Roch Theorem and the Jacquet–Langlands Correspondenceection numbers for different Shimura varieties. In this lectures we explain this philosophy in the case of modular curves and compact Shimura curves. This indicates that there is some relationship between the arithmetic Riemann–Roch theorem and trace type formulae.