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  1. 数学科プレプリントシリーズ

On the cyclotomic twisted torus and some torsors

https://chuo-u.repo.nii.ac.jp/records/1082
https://chuo-u.repo.nii.ac.jp/records/1082
9f854b47-919c-4b21-ab33-d25c1eed8102
名前 / ファイル ライセンス アクション
MATH_preprint~100.pdf 本文を見る(PDFファイル) (467.8 kB)
Item type プレプリント / Preprint(1)
公開日 2013-06-05
タイトル
言語 en
タイトル On the cyclotomic twisted torus and some torsors
言語
言語 eng
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_1843
資源タイプ other
著者 SEKIGUCHI, Tsutomu

× SEKIGUCHI, Tsutomu

WEKO 23327

en SEKIGUCHI, Tsutomu

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TODA, Yohei

× TODA, Yohei

WEKO 23328

en TODA, Yohei

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著者別名
識別子Scheme WEKO
識別子 23327
姓名 關口, 力
抄録
内容記述タイプ Abstract
内容記述 Our aim in this paper is to compute the rst cohomology of some type of nite group schemes. L. G. Roberts [7] gave the rst cohomology of group schemes in certain conditions. We compute it by completely different way and under circumstances, by using the concept of cyclotomic twisted tori. The concept was introduced by Y. Koide and T. Sekiguchi [4], and they showed that such a twisted torus is isomorphic to a subgroup scheme in a Weil restriction of 1-dimensional algebraic torus given by the intersection of whole norm maps. Here we extend the isomorphism to a resolution of the cyclotomic twisted torus, consisting of Weil restriction of 1-dimensional algebraic tori and several norm maps. And we describe the endomorphism ring of a cyclotomic twisted torus. Moreover, we show that by using the resolution, one can compute that rst cohomology of a cyclotomic twisted torus, and that one can describe the torsors of some type of nite group schemes by using the concept of cyclotomic twisted tori.
書誌情報 数学科プレプリントシリーズ
en : PREPRINT SERIES

巻 100, 発行日 2013-01-11
出版者
出版者 中央大学理工学部数学科
権利
権利情報 この資料の著作権は、資料の著作者または学校法人中央大学に帰属します。著作権法が定める私的利用・引用を超える使用を希望される場合には、掲載誌発行部局へお問い合わせください。
フォーマット
内容記述タイプ Other
内容記述 application/pdf
著者版フラグ
出版タイプ AO
出版タイプResource http://purl.org/coar/version/c_b1a7d7d4d402bcce
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