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  1. Bog
  2. Geometri
  3. Algebraisk geometri

Arakelov Geometry and Diophantine Applications

Engelsk Paperback

Arakelov Geometry and Diophantine Applications

Engelsk Paperback
Tjek vores konkurrenters priser

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.

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Tjek vores konkurrenters priser

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.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 469
ISBN-13: 9783030575588
Indbinding: Paperback
Udgave:
ISBN-10: 3030575586
Kategori: Algebraisk geometri
Udg. Dato: 11 mar 2021
Længde: 29mm
Bredde: 233mm
Højde: 157mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 11 mar 2021
Forfatter(e):
Forfatter(e)

Kategori Algebraisk geometri

ISBN-13 9783030575588

Sprog Engelsk

Indbinding Paperback

Sider 469

Udgave

Længde 29mm

Bredde 233mm

Højde 157mm

Udg. Dato 11 mar 2021

Oplagsdato 11 mar 2021

Forlag Springer Nature Switzerland AG

Kategori sammenhænge