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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory
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Brauer Groups and Obstruction Problems - Moduli Spaces and Arithmetic (Hardcover, 1st ed. 2017)
Loot Price: R5,481
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Brauer Groups and Obstruction Problems - Moduli Spaces and Arithmetic (Hardcover, 1st ed. 2017)
Series: Progress in Mathematics, 320
Expected to ship within 10 - 15 working days
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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-Thelene * Krishna Dasaratha * Brendan Hassett *
Colin Ingalls * Marti Lahoz * Emanuele Macri * 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
Varilly-Alvarado * Bianca Viray * Rong Zhou
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