Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320) - Image 1

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Birkhauser Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320)

Name: Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320)
Brand: Birkhauser

Geometry & Topology

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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-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

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 3319836013
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Geometry & Topology
Domain: Amazon UK
Release Date: 18 July 2018
Listed Since: 18 July 2018

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Birkhauser Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic: 320 (Progress in Mathematics, 320)

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