E-grāmata: Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic

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-Thélčne





· Krishna Dasaratha





· Brendan Hassett





· Colin Ingalls





· Martķ Lahoz





· Emanuele Macrģ





· 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 Vįrilly-Alvarado





· Bianca Viray





· Rong Zhou