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Umbilical Points of the Graphs of Homogeneous Polynomials of Degree 3
http://hdl.handle.net/2261/1196
http://hdl.handle.net/2261/119661785aa0-5894-4027-b91d-6defb1edffef
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms080105.pdf (147.5 kB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-03-04 | |||||
| タイトル | ||||||
| タイトル | Umbilical Points of the Graphs of Homogeneous Polynomials of Degree 3 | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Ando, Naoya
× Ando, Naoya |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Let $P^3_o$ be the set of the homogeneous polynomials of degree $3$ such that on their graphs, the origin $o:=(0, 0, 0)$ of {\bf R}$^3$ is isolated as an umbilical point, and $P^{3,1/2}_o , P^{3,-1/2}_o$ the sets of the elements of $P^3_o$ such that on their graphs, the index of $o$ is equal to $1/2, -1/2$, respectively. In this paper, it is seen that $P^3_o$ is divided into $P^{3,1/2}_o$ and $P^{3,-1/2}_o$ by the cone obtained from a rectangular torus in the vector space of the homogeneous polynomials of degree $3$. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 8, 号 1, p. 71-87, 発行日 2001 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| フォーマット | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | application/pdf | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR1818906 | ||||||
| Mathmatical Subject Classification | ||||||
| 60F10(MSC2000) | ||||||
| Mathmatical Subject Classification | ||||||
| 60J60(MSC2000) | ||||||
| Mathmatical Subject Classification | ||||||
| 53A05(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 53A99(MSC1991) | ||||||
| Mathmatical Subject Classification | ||||||
| 53B25(MSC1991) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2000-04-10 | ||||||
