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Brauer Groups and Obstruction Problems : Moduli Spaces and Arithmetic - Asher Auel

Brauer Groups and Obstruction Problems

Moduli Spaces and Arithmetic

By: Asher Auel (Editor), Brendan Hassett (Editor), Anthony Várilly-Alvarado (Editor)

Hardcover | 10 March 2017

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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©l¨ne



· Krishna Dasaratha



· Brendan Hassett



· Colin Ingalls



· Mart­ Lahoz



· Emanuele Macr¬



· 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¡rilly-Alvarado



· Bianca Viray



· Rong Zhou



Other Editions and Formats

Paperback

Published: 18th July 2018

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