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整数の微分とそれと良質する新たな多様体
http://hdl.handle.net/10935/5583
http://hdl.handle.net/10935/5583017a3324-ffe3-4f20-bf69-f95b1ded3e2a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
issn09132201v36pp39-47.pdf
|
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| アイテムタイプ | default_紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2021-05-28 | |||||
| タイトル | ||||||
| タイトル | 整数の微分とそれと良質する新たな多様体 | |||||
| 言語 | ja | |||||
| 言語 | ||||||
| 言語 | jpn | |||||
| 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 | |||||
| その他（別言語等）のタイトル | ||||||
| その他のタイトル | Differentials of Integra on a New Manifold | |||||
| 言語 | en | |||||
| 著者 |
角田,秀一郎
× 角田,秀一郎 |
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| 内容記述 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | To study a compact complex manifold, an approach using differential geometry is known to be effective (sometimes). Here we name few examples. The first one is most important and nutritive even today; that is Hodge theorem. A classical proof of the theorem depends on the existence of solutions of Laplacian type differential equations. Next, we should mention on a celebrated example obtained by Yau. Yau proved existence of a Einstein Kaehler metric on a certain manifold. To prove it, he solved a certain type of Monge-Ampere equations. The existence of a Hermitian Einstein metric on a stable vector bundle by Donaldson is another example. On these examples, we note that we solve differential equations related to metrics. They tell analytic structures of a manifold. Therefore it is natural to ask whether the solutions have better regularity or not. Following above arguments, we make differentials on integers, make new manifolds where the differentials on integers and usual differentials on polynomials are compatible. Furthermore, we rewrite ordinary differential equations in terms of our new differentials which is meaningful on arithmetic manifolds. If we expect to have solutions, we extend functions. To do that, we need to consider a certain type of subharmonic functions which is written by regular functions in some sense. The type of subharmonic functions is extendable to both that of arithmetic manifolds and that of algebraic manifolds with positive characteristic. | |||||
| 言語 | en | |||||
| 書誌情報 |
ja : 人間文化総合科学研究科年報 巻 36, p. 39-47, 発行日 2021-03-31 |
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| 出版者 | ||||||
| 出版者 | 奈良女子大学大学院人間文化総合科学研究科 | |||||
| 言語 | ja | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0913-2201 | |||||
| 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 | |||||
