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Arakelov Geometry and Diophantine Applications

Name: Arakelov Geometry and Diophantine Applications
Brand: Springer Nature Switzerland AG
SKU: 9783030575588
Price: 150.13 PLN
Availability: InStock

Autor: Emmanuel Peyre, Gaël Rémond

Język:

Oprawa: Miękka

Wydawca: Springer Nature Switzerland AG

Dostępność: Dostępna u dostawcy

Wysyłamy za 10-18 dni

150.13 zł

Bridging the gap between novice and expert, the aim of this book is to present in a self-contained w...

Informacje o książce

Autor

Emmanuel Peyre, Gaël Rémond

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2021

strony

469

EAN

9783030575588

ISBN

3030575586

Enbook ID

33471447

Wydawca

Springer Nature Switzerland AG

Waga

730

Wymiary

233 x 157 x 29

Pełny opis

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. This book will be particularly useful for graduate students and researchers interested in the connections between algebraic geometry and number theory. The prerequisites are some knowledge of number theory and algebraic geometry.