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幨鋝e?Krishna Dasaratha?Brendan Hassett?Colin Ingalls?Mart?Lahoz?Emanueleacr?/p>?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嫫illy-Alvarado?Bianca Viray?Rong Zhou
Brauer Groups and Obstruction Problems
- 作者： Auel, Asher (EDT)/ Hassett, Brendan (EDT)/ V嫫illy-alvarado, Anthony (EDT)/ Viray
- 出版社： Baker & Tayl
- 出版日期： 2017-03-10
- ISBN碼： 9783319468518
- 編號： 203c704567195
$ 5,494 元
原價 6,104
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$5,494