Brauer Groups And Obstruction Problems by Asher Auel, Paperback | Indigo Chapters

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 | Brauer Groups And Obstruction Problems by Asher Auel, Paperback | Indigo Chapters