期刊全称 | Brauer Groups and Obstruction Problems | 期刊简称 | Moduli Spaces and Ar | 影响因子2023 | Asher Auel,Brendan Hassett,Bianca Viray | 视频video | | 发行地址 | Offers a unique synthesis of techniques: tools from complex algebraic geometry are applied to fundamental questions in number theory and Diophantine geometry.Investigates the connection between derive | 学科分类 | Progress in Mathematics | 图书封面 |  | 影响因子 | .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. | Pindex | Book 2017 |
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