株式会社極東書店トップ ＞ 商品一覧 ＞ Brauer Groups, Tamagawa Measures, and Rational Points on Algebraic Varieties.
商品詳細
Brauer Groups, Tamagawa Measures, and Rational Points on Algebraic Varieties.
・ISBN 978-1-4704-1882-3 hard US$ 100.00
￥23,430.- (税込) ※（※）価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
| 著者・編者 | Jahnel, Jorg, |
|---|---|
| シリーズ | Mathematical Surveys and Monographs |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 2014 |
| ページ数 | 267 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-15597＞ |
解説
The central theme of this book is the study of rational points on algebraic varieties of Fano and intermediate type - both in terms of when such points exist and, if they do, their quantitative density. The book consists of three parts. In the first part, the author discusses the concept of a height and formulates Manin's conjecture on the asymptotics of rational points on Fano varieties.
The second part introduces the various versions of the Brauer group. The author explains why a Brauer class may serve as an obstruction to weak approximation or even to the Hasse principle. This part includes two sections devoted to explicit computations of the Brauer-Manin obstruction for particular types of cubic surfaces.
The final part describes numerical experiments related to the Manin conjecture that were carried out by the author together with Andreas-Stephan Elsenhans.
The book presents the state of the art in computational arithmetic geometry for higher-dimensional algebraic varieties and will be a valuable reference for researchers and graduate students interested in that area.
The second part introduces the various versions of the Brauer group. The author explains why a Brauer class may serve as an obstruction to weak approximation or even to the Hasse principle. This part includes two sections devoted to explicit computations of the Brauer-Manin obstruction for particular types of cubic surfaces.
The final part describes numerical experiments related to the Manin conjecture that were carried out by the author together with Andreas-Stephan Elsenhans.
The book presents the state of the art in computational arithmetic geometry for higher-dimensional algebraic varieties and will be a valuable reference for researchers and graduate students interested in that area.