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商品詳細
Brauer Groups and Obstruction Problems : Moduli Spaces and Arithmetic. 1st ed. 2017.
・ISBN 978-3-319-46851-8 hard EUR 149.99
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| 著者・編者 | Auel, Asher / Hassett, Brendan / Varilly-Alvarado, Anthony / Viray, Bianca (eds.), |
|---|---|
| シリーズ | Progress in Mathematics |
| 出版社 | (Birkhauser Verlag AG, SZ) |
| 出版年月 | 2017 |
| ページ数 | 247 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-20983＞ |
解説
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-Thelene
? Krishna Dasaratha
? Brendan Hassett
? Colin Ingalls
? Marti Lahoz? Emanuele Macri
? 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 Varilly-Alvarado
? Bianca Viray
? Rong Zhou