Brauer Groups and Obstruction Problems - Moduli Spaces and Arithmetic (Paperback, Softcover reprint of the original 1st ed. 2017)

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

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Progress in Mathematics, 320
Release date:	July 2018
First published:	2017
Editors:	Asher Auel • Brendan Hassett • Anthony Varilly-Alvarado • Bianca Viray
Dimensions:	235 x 155 x 14mm (L x W x T)
Format:	Paperback
Pages:	247
Edition:	Softcover reprint of the original 1st ed. 2017
ISBN-13:	978-3-319-83601-0
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	3-319-83601-3
Barcode:	9783319836010

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