Автор: F. van Oystaeyen; A. Verschoren Название: Brauer Groups in Ring Theory and Algebraic Geometry ISBN: 3540112162 ISBN-13(EAN): 9783540112167 Издательство: Springer Рейтинг: Цена: 37220.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Asher Auel; Brendan Hassett; Anthony V?rilly-Alvar Название: Brauer Groups and Obstruction Problems ISBN: 3319468510 ISBN-13(EAN): 9783319468518 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
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-Th l ne
- Krishna Dasaratha
- Brendan Hassett
- Colin Ingalls
- Mart Lahoz
- Emanuele Macr
- 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 V rilly-Alvarado
- Bianca Viray
- Rong Zhou
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