Cover Brauer Groups and Obstruction Problems

Leseprobe

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Leseprobe

Brauer Groups and Obstruction Problems

Name: Brauer Groups and Obstruction Problems
Author: Anthony Várilly-Alvarado (Hrsg.), Asher Auel (Hrsg.), Bianca Viray (Hrsg.), Brendan Hassett (Hrsg.)

Moduli Spaces and Arithmetic

Anthony Várilly-Alvarado (Hrsg.), Asher Auel (Hrsg.), Bianca Viray (Hrsg.), Brendan Hassett (Hrsg.)

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ca. 149,79 €

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Springer International Publishing

Naturwissenschaften, Medizin, Informatik, Technik / Arithmetik, Algebra

Beschreibung

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