{ "item_title" : "Brauer Groups and Obstruction Problems", "item_author" : [" Asher Auel", "Brendan Hassett", "Anthony Várilly-Alvarado "], "item_description" : "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-Th l ne- Krishna Dasaratha- Brendan Hassett- Colin Ingalls- Mart Lahoz- Emanuele Macr- 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 V rilly-Alvarado- Bianca Viray- Rong Zhou", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/31/946/851/3319468510_b.jpg", "price_data" : { "retail_price" : "169.99", "online_price" : "169.99", "our_price" : "169.99", "club_price" : "169.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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