Hidden Bibliographic Details
| Other authors / contributors: | Auel, Asher, editor.
Hassett, Brendan, editor.
Várilly-Alvarado, Anthony, editor.
Viray, Bianca, editor.
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| ISBN: | 9783319468525
3319468529
9783319468518
3319468510
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| Digital file characteristics: | text file PDF
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| Notes: | Includes bibliographical references.
Online resource; title from PDF title page (EBSCO, viewed November 27, 2017).
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| Summary: | 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 · 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 Várilly-Alvarado · Bianca Viray · Rong Zhou.
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| Other form: | Print version: Brauer groups and obstruction problems : Moduli spaces and arithmetic. [Cham, Switzerland] : Birkhäuser, ©2017 ix, 247 pages Progress in mathematics (Boston, Mass.) ; Volume 320 2296-505X 9783319468518
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| Standard no.: | 10.1007/978-3-319-46852-5
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