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Monomial Deformations of Certain Hypersurfaces and Two Hypergeometric Functions
https://doi.org/10.15083/00005658
da2ab481-f6de-42c0-898c-4572012e0cc2
名前 / ファイル | ライセンス | アクション | |
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Item type | 学位論文 / Thesis or Dissertation(1) | |||||
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公開日 | 2014-10-02 | |||||
タイトル | ||||||
タイトル | Monomial Deformations of Certain Hypersurfaces and Two Hypergeometric Functions | |||||
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 | 10.15083/00005658 | |||||
ID登録タイプ | JaLC | |||||
その他のタイトル | ||||||
その他のタイトル | ある種の超曲面の単項的変形と2種の超幾何函数 | |||||
著者 |
Miyatani, Kazuaki
× Miyatani, Kazuaki |
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著者別名 | ||||||
識別子 | ||||||
識別子 | 11783 | |||||
識別子Scheme | WEKO | |||||
姓名 | ||||||
姓名 | 宮谷, 和尭 | |||||
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 | In this article, we give a certain class of one-parameter families of Calabi-Yau hypersurfaces of a projective space over a finite field that includes the Dwork family and investigate the relationship of these families with hypergeometric series and with hypergeometric function over finite fields. The former is related via a formula for unit-root, and the latter is related via a factorization of the zeta function. | |||||
書誌情報 | 発行日 2013-03-25 | |||||
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 | ||||||
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 | 2013-03-25 |