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Gross'Conjecture for Extensions Ramified over Three Points of $\Bbb P^1$
http://hdl.handle.net/2261/43961
http://hdl.handle.net/2261/439618333a6c6-978e-4e03-bc79-13d4be95957a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms100104.pdf (178.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2011-06-16 | |||||
| タイトル | ||||||
| タイトル | Gross'Conjecture for Extensions Ramified over Three Points of $\Bbb P^1$ | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Reid, Michael
× Reid, Michael |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | B. Gross has formulated a conjectural generalization of the class number formula. Suppose $L/K$ is an abelian extension of global fields with Galois group $G$. A generalized Stickelberger element $θ \in \ZZ[G]$ is constructed from special values of $L$-functions at $s = 0$. Gross'conjecture then predicts some $I$-adic information about $θ$, where $I \subseteq \ZZ[G]$ is the augmentation ideal. In this paper, we prove (under a mild hypothesis) the conjecture for the maximal abelian extension of the rational function field $\FF_q(X)$ that is unramified outside a set of three degree $1$ places. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 10, 号 1, p. 119-138, 発行日 2003 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1963800 | ||||||
| Mathmatical Subject Classification | ||||||
| 11R58(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 11G40(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2002-06-17 | ||||||
