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

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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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