Brauer Groups and Obstruction Problems: Moduli Spaces and by Asher Auel,Brendan Hassett,Anthony Várilly-Alvarado,Bianca PDF

By Asher Auel,Brendan Hassett,Anthony Várilly-Alvarado,Bianca Viray

ISBN-10: 3319468510

ISBN-13: 9783319468518

The contributions during this publication discover numerous contexts during which the derived class of coherent sheaves on a spread determines a few of its mathematics. This surroundings presents new geometric instruments for examining components of the Brauer crew. With a view in the direction of destiny mathematics purposes, the e-book extends a couple of strong instruments for reading rational issues on elliptic curves, e.g., isogenies between curves, torsion issues, modular curves, and the ensuing descent thoughts, in addition to higher-dimensional forms like K3 surfaces. encouraged via the quick fresh advances in our figuring out of K3 surfaces, the booklet is meant to foster cross-pollination among the fields of complicated 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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