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On the Galois actions on torsors of paths I, Descent of Galois representations
http://hdl.handle.net/2261/15754
http://hdl.handle.net/2261/157543d33aa40-af47-46bf-8832-26be8234a492
名前 / ファイル | ライセンス | アクション |
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jms140203.pdf (487.6 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 Galois actions on torsors of paths I, Descent of Galois representations | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | Galois group | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | fundamental group | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | torsor of paths | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | $\ell$-adic polylogarithms | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Lie algebra | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | Lie algebra of derivations | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Wojtkowiak, Zdzis{\l}aw
× Wojtkowiak, Zdzis{\l}aw |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We are studying representations obtained from actions of Galois groups on torsors of paths on a projective line minus a finite number of points. Using these actions on torsors of paths, we construct geometrically representations of Galois groups which realize $\ell$-adically the associated graded Lie algebra of the fundamental group of the tannakian category of mixed Tate motives over ${\rm Spec}\, \Zbb$, ${\rm Spec}\, \Zbb [i]$, ${\rm Spec}\, \Zbb [\frac{1}{q}]$, ${\rm Spec}\,\Oc _{\Qbb ( \sqrt {-q})}$ for any prime number $q$ ($q\ eq 2$ in the last case) and over ${\rm Spec}\,\Oc _{\Qbb ( \sqrt {-q})}[\frac{1}{q}]$ for any prime number $q$ congruent to $3$ modulo $4$ and also for $q=2.$ |
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書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 14, 号 2, p. 177-259, 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 | 415 | |||||
主題Scheme | NDC | |||||
Mathmatical Subject Classification | ||||||
11G55(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
11G99(MSC2000) | ||||||
Mathmatical Subject Classification | ||||||
14G32(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2004-12-15 |