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On the {\'e}tale cohomology of algebraic varieties with totally
http://hdl.handle.net/2261/15755
http://hdl.handle.net/2261/15755fa3617f5-2e2d-4b9f-89b2-f7aa8729206d
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms140204.pdf (232.2 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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| 公開日 | 2008-08-29 | |||||
| タイトル | ||||||
| タイトル | On the {\'e}tale cohomology of algebraic varieties with totally | |||||
| 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 |
Raskind, Wayne
× Raskind, Wayne× Xarles, Xavier |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Let $K$ be a field of characteristic zero that is complete with respect to a discrete valuation, with perfect residue field of characteristic $p>0$. We formulate the notion of {\it totally degenerate reduction} for a smooth projective variety $X$ over $K$. We show that for all prime numbers $\ell$, the $\bQl$-\'etale cohomology of such a variety is (after passing to a suitable finite unramified extension of $K$) a successive extension of direct sums of Galois modules of the form $\bQl(r)$. More precisely, this cohomology has an increasing filtration whose $r$-th graded quotient is of the form $V\otimes_{\bQ}\bQl(r)$, where $V$ is a finite dimensional $\bQ$-vector space that is independent of $\ell$, with an unramified action of the absolute Galois group of $K$. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 14, 号 2, p. 261-291, 発行日 2007-08-27 |
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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 | |||||
| Mathmatical Subject Classification | ||||||
| 14F20(MSC2000) | ||||||
| Mathmatical Subject Classification | ||||||
| 14F30 (MSC2000) | ||||||
| Mathmatical Subject Classification | ||||||
| 14G20(MSC2000) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2004-12-24 | ||||||
