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The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields
http://hdl.handle.net/2261/1381
http://hdl.handle.net/2261/13819d25a0cd-43f8-4ab7-bd47-68c0e9f0b3a9
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms030305.pdf (375.9 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields | |||||
| 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 |
Mochizuki, Shinichi
× Mochizuki, Shinichi |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | In this paper, we extend the results of [Tama] on the Grothendieck Conjecture for affine hyperbolic curves over finite fields to obtain a Grothendieck Conjecture-type result for singular, proper, stable log-curves over finite fields. Using this result, we derive a strong Grothendieck Conjecture-type result for smooth, proper hyperbolic curves over number fields, and a weak Grothendieck Conjecture-type result for smooth, proper, hyperbolic curves over local fields with ordinary reduction. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 3, 号 3, p. 571-627, 発行日 1996 |
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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 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1432110 | ||||||
| Mathmatical Subject Classification | ||||||
| 11G30(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 14H25(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 14H30(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 11G20(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 11G80(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 1995-12-14 | ||||||
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Cite as
Mochizuki, Shinichi, 1996, The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields: Graduate School of Mathematical Sciences, The University of Tokyo, 571–627 p.
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