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Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic
Paperback
Series: Progress in Mathematics, Book 320
ISBN13: 9783319836010
Publisher: Birkhauser
Published: Jul 18 2018
Pages: 247
Weight: 0.81
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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
- Martà 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
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