Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic

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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 ...

Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic 2017, Birkhauser

ISBN-13: 9783319468518

2017 edition

Hardcover

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