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Viser: Arakelov Geometry and Diophantine Applications
Arakelov Geometry and Diophantine Applications Vital Source e-bog
(2021)
Springer Nature
499,00 kr.
Leveres umiddelbart efter køb
Arakelov Geometry and Diophantine Applications Vital Source e-bog
(2021)
Springer Nature
388,00 kr.
Leveres umiddelbart efter køb
Arakelov Geometry and Diophantine Applications
Emmanuel Peyre og Gaël Rémond
(2021)
Sprog: Engelsk
Springer International Publishing AG
323,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Vital Source leje e-bog 180 dage
- Udgiver: Springer Nature (Marts 2021)
- ISBN: 9783030575595R180
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.
Licens varighed:
Bookshelf online: 180 dage fra købsdato.
Bookshelf appen: 180 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Bookshelf online: 180 dage fra købsdato.
Bookshelf appen: 180 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Vital Source leje e-bog 90 dage
- Udgiver: Springer Nature (Marts 2021)
- ISBN: 9783030575595R90
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.
Licens varighed:
Bookshelf online: 90 dage fra købsdato.
Bookshelf appen: 90 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Bookshelf online: 90 dage fra købsdato.
Bookshelf appen: 90 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- Paperback
- Udgiver: Springer International Publishing AG (Marts 2021)
- Forfattere: Emmanuel Peyre og Gaël Rémond
- ISBN: 9783030575588
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.
- 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-Szego. -
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.
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-Szego. -
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.
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