Brauer Groups and Obstruction Problems: Moduli Spaces and - download pdf or read online

By Asher Auel,Brendan Hassett,Anthony Várilly-Alvarado,Bianca Viray
ISBN-10: 3319468510
ISBN-13: 9783319468518
The contributions during this e-book discover a number of contexts during which the derived type of coherent sheaves on a range determines a few of its mathematics. This atmosphere presents new geometric instruments for analyzing parts of the Brauer workforce. With a view in the direction of destiny mathematics functions, the ebook extends a few strong instruments for studying rational issues on elliptic curves, e.g., isogenies between curves, torsion issues, modular curves, and the ensuing descent options, in addition to higher-dimensional kinds like K3 surfaces. encouraged by way of the quick fresh advances in our knowing of K3 surfaces, the publication is meant to foster cross-pollination among the fields of advanced algebraic geometry and quantity 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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Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic (Progress in Mathematics) by Asher Auel,Brendan Hassett,Anthony Várilly-Alvarado,Bianca Viray
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