Brauer Groups and Obstruction Problems : Moduli Spaces and Arithmetic
Language: English
Published by Springer, 2017
- Hardcover
- Used
Seller: Buchpark, Trebbin, GermanyBuchpark
AbeBooks seller since September 30, 2021
Condition: Used - Fine
£ 61.96
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Add to basketItem description from seller
Zustand: Sehr gut | Seiten: 260 | Sprache: Englisch | Produktart: Bücher | The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.Contributors:· Nicolas Addington· Benjamin Antieau· Kenneth Ascher · Asher Auel· Fedor Bogomolov· Jean-Louis Colliot-Thélène· Krishna Dasaratha· Brendan Hassett· Colin Ingalls· Martí Lahoz· Emanuele Macrì· Kelly McKinnie· Andrew Obus· Ekin Ozman· Raman Parimala· Alexander Perry· Alena Pirutka· Justin Sawon· Alexei N. Skorobogatov· Paolo Stellari· Sho Tanimoto· Hugh Thomas· Yuri Tschinkel· Anthony Várilly-Alvarado· Bianca Viray· Rong Zhou.…
Seller Inventory # 27116372/12
- Title
- Brauer Groups and Obstruction Problems : Moduli Spaces and Arithmetic
- Author
- Unbekannt
- Publisher
- Springer
- Publication year
- 2017
- Condition
- Sehr gut
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3319468510
- ISBN 13
- 9783319468518
- Series
- Book 145 of 170: Progress in Mathematics
- Seller catalogs
- Bücher
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.
Contributors:
· Nicolas Addington
· Benjamin Antieau· Kenneth Ascher
· Asher Auel· Fedor Bogomolov
· Jean-Louis Colliot-Thélène
· Krishna Dasaratha
· Brendan Hassett
· Colin Ingalls
· Martí Lahoz· Emanuele Macrì
· Kelly McKinnie
· Andrew Obus
· Ekin Ozman
· Raman Parimala
· Alexander Perry
· Alena Pirutka
· Justin Sawon
· Alexei N. Skorobogatov
· Paolo Stellari
· Sho Tanimoto· Hugh Thomas
· Yuri Tschinkel
· Anthony Várilly-Alvarado
· Bianca Viray
· Rong Zhou
"Synopsis" may belong to another edition of this title.
From the Back Cover
The contributions in this book explore various contexts in which the derived category of coherent sheaves on a variety determines some of its arithmetic. This setting provides new geometric tools for interpreting elements of the Brauer group. With a view towards future arithmetic applications, the book extends a number of powerful tools for analyzing rational points on elliptic curves, e.g., isogenies among curves, torsion points, modular curves, and the resulting descent techniques, as well as higher-dimensional varieties like K3 surfaces. Inspired by the rapid recent advances in our understanding of K3 surfaces, the book is intended to foster cross-pollination between the fields of complex algebraic geometry and number theory.
Contributors:
· Nicolas Addington
· Benjamin Antieau
· Kenneth Ascher
· Asher Auel
· Fedor Bogomolov
· Jean-Louis Colliot-Thélène
· Krishna Dasaratha
· Brendan Hassett
·Colin Ingalls
· Martí Lahoz
· Emanuele Macrì
· Kelly McKinnie
· Andrew Obus
· Ekin Ozman
· Raman Parimala
· Alexander Perry
· Alena Pirutka
· Justin Sawon
· Alexei N. Skorobogatov· Paolo Stellari
· Sho Tanimoto
· Hugh Thomas
· Yuri Tschinkel
· Anthony Várilly-Alvarado
· Bianca Viray
· Rong Zhou
"About the title" may belong to another edition of this title.
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