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Book synopsis

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-Thélčne · Krishna Dasaratha · Brendan Hassett · Colin Ingalls · Martí Lahoz · Emanuele Macrě · 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

Book details

Book category Books in English Mathematics & science Mathematics Algebra

• Full title: Brauer Groups and Obstruction Problems
• Author: Asher Auel, Brendan Hassett, Anthony Várilly-Alvarado, Bianca Viray
• Language: English
• Binding: Hardback
• Number of pages: 247
• EAN: 9783319468518
• ISBN: 3319468510
• ID: 14140004
• Publisher: Birkhauser
• Weight: 5148 g
• Dimensions: 235 × 155 × 17 mm
• Date of publishing: 10. March 2017

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