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Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic
Auel, Asher ; Hassett, Brendan ; Várilly-Alvarado, Anthony (Author)
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Birkhauser
· Paperback
Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic - Auel, Asher ; Hassett, Brendan ; Várilly-Alvarado, Anthony
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Synopsis "Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic"
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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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.
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