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Annihilation of local cohomology groups by separable extensions in positive characteristic
https://doi.org/10.15083/00004040
https://doi.org/10.15083/000040400744777e-d3c2-4ec9-a7ff-edbc8c6fded1
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SannaiA_23_3_PhD_a.pdf (451.8 kB)
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SannaiA_23_3_PhD_b.pdf (179.1 kB)
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Item type | 学位論文 / Thesis or Dissertation(1) | |||||
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公開日 | 2012-10-23 | |||||
タイトル | ||||||
タイトル | Annihilation of local cohomology groups by separable extensions in positive characteristic | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_46ec | |||||
タイプ | thesis | |||||
ID登録 | ||||||
ID登録 | 10.15083/00004040 | |||||
ID登録タイプ | JaLC | |||||
その他のタイトル | ||||||
その他のタイトル | 正標数における局所コホモロジー群の分離拡大による消滅 | |||||
著者 |
Sannai, Akiyoshi
× Sannai, Akiyoshi |
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著者別名 | ||||||
識別子 | 9343 | |||||
識別子Scheme | WEKO | |||||
姓名 | 三内, 顕義 | |||||
著者所属 | ||||||
著者所属 | 東京大学大学院数理科学研究科 | |||||
著者所属 | ||||||
著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
Abstract | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | For any local domain (R, m) of prime characteristic thatis a homomorphic image of a Gorenstein ring, Huneke and Lyubeznikproved that there exists a module-finite extension domain S such that the induced map on local cohomology modules Hm.(R) --> Hm(s) is zero for each i < dim R. We prove that the extension S may be chosen to be generically Galois, and analyze the Galois groups between them. | |||||
書誌情報 | 発行日 2011-03-24 | |||||
日本十進分類法 | ||||||
主題 | 410 | |||||
主題Scheme | NDC | |||||
学位名 | ||||||
学位名 | 博士(数理科学) | |||||
学位 | ||||||
値 | doctoral | |||||
学位分野 | ||||||
Mathematical Sciences (数理科学) | ||||||
学位授与機関 | ||||||
学位授与機関名 | University of Tokyo (東京大学) | |||||
研究科・専攻 | ||||||
Graduate School of Mathematical Sciences (数理科学研究科) | ||||||
学位授与年月日 | ||||||
学位授与年月日 | 2011-03-24 | |||||
学位授与番号 | ||||||
学位授与番号 | 甲第27188号 | |||||
学位記番号 | ||||||
博数理第369号 |