| Brauer Groups and Obstruction Problems: Moduli Spaces and Arithmetic 2017 Edition Contributor(s): Auel, Asher (Editor), Hassett, Brendan (Editor), Várilly-Alvarado, Anthony (Editor) |
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ISBN: 3319468510 ISBN-13: 9783319468518 Publisher: Birkhauser OUR PRICE: $161.49 Product Type: Hardcover - Other Formats Published: March 2017 |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Number Theory |
| Dewey: 512.7 |
| Series: Progress in Mathematics |
| Physical Information: 0.63" H x 6.14" W x 9.21" (1.19 lbs) 247 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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 |