Description
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-Thelene
* Krishna Dasaratha
* Brendan Hassett
* Colin Ingalls
* Marti Lahoz* Emanuele Macri
* 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 Varilly-Alvarado
* Bianca Viray
* Rong Zhou
Book Information
ISBN 9783319836010
Author Asher Auel
Format Paperback
Page Count 247
Imprint Birkhauser Verlag AG
Publisher Birkhauser Verlag AG