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Differential forms on the curves associated to Appell-Lauricella hypergeometric series and the Cartier operator on them
https://doi.org/10.18880/0002000903
https://doi.org/10.18880/0002000903c575a846-80ad-42ac-8e04-f256f850eb4c
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
YMJ69_N2121.pdf
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2024-05-10 | |||||||||
| タイトル | ||||||||||
| タイトル | Differential forms on the curves associated to Appell-Lauricella hypergeometric series and the Cartier operator on them | |||||||||
| 言語 | en | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題 | Algebraic curves, Cartier-Manin matrix, Cartier operator, Differential forms, Hypergeometric series, Positive characteristic | |||||||||
| キーワード | ||||||||||
| 言語 | en | |||||||||
| 主題 | 14H10, 14F40, 14G17, 33C70 | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||
| 資源タイプ | departmental bulletin paper | |||||||||
| ID登録 | ||||||||||
| ID登録 | 10.18880/0002000903 | |||||||||
| ID登録タイプ | JaLC | |||||||||
| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 著者 |
Ryo, Ohashi
× Ryo, Ohashi
× Shushi, Harashita
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| 抄録 | ||||||||||
| 内容記述タイプ | Abstract | |||||||||
| 内容記述 | The curve C over C associated to Appell-Lauricella hypergeometric series and regular differential forms on its desingularization were previously studied by Archinard. In this paper, we first generalize Archinard’s results for a field K under a mild condition on its characteristic. Second, we describe a partial desingularization of C and the space of global sections of its dualizing sheaf, especially we give an explicit basis of it. Finally, when the characteristic is positive, we show that the Cartier operator on the space can be defined and describe it in terms of Appell-Lauricella hypergeometric series. | |||||||||
| 言語 | en | |||||||||
| 書誌情報 |
Yokohama Mathematical Journal 巻 69, p. 1-32, ページ数 33, 発行日 2023 |
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| ISSN | ||||||||||
| 収録物識別子タイプ | PISSN | |||||||||
| 収録物識別子 | 00440523 | |||||||||
| 書誌レコードID | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA0089285X | |||||||||
| 著者版フラグ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 出版者 | ||||||||||
| 出版者 | Yokohama National University | |||||||||
