Arakelov Geometry and Diophantine Applications Lecture Notes in Mathematics by Emmanuel Peyre; Gaël Rémond 3030575586 9783030575595

Arakelov Geometry and Diophantine Applications Lecture Notes in Mathematics Emmanuel Peyre (Editor) – Ebook Instant Download/Delivery ISBN(s): 9783030575588,9783030575595,3030575586,3030575594

Product details:

• ISBN 10:3030575586
• ISBN 13:9783030575595
• Author:Emmanuel Peyre, Gaël Rémond

Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic geometry and diophantine geometry. Based on lectures from a summer school for graduate students, this volume consists of 12 different chapters, each written by a different author. The first chapters provide some background and introduction to the subject. These are followed by a presentation of different applications to arithmetic geometry. The final part describes the recent application of Arakelov geometry to Shimura varieties and the proof of an averaged version of Colmez’s conjecture. This book thus blends initiation to fundamental tools of Arakelov geometry with original material corresponding to current research.

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