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 ...
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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
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Add this copy of Brauer Groups and Obstruction Problems: Moduli Spaces to cart. $159.69, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2018 by Birkhauser.
Add this copy of Brauer Groups and Obstruction Problems: Moduli Spaces to cart. $195.98, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2018 by Springer (India) Private Limited.
