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不変元についての注意(A. 理学)
https://kpu.repo.nii.ac.jp/records/3098
https://kpu.repo.nii.ac.jp/records/30987518fbce-5ada-4b9b-b9ed-449385ecb736
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
KJ00000079731.pdf (61.3 kB)
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| Item type | [ELS]紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-02-20 | |||||
| タイトル | ||||||
| タイトル | 不変元についての注意(A. 理学) | |||||
| 言語 | ja | |||||
| その他（別言語等） | ||||||
| その他のタイトル | Note on invariants (A. NATURAL SCIENCE) | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | jpn | |||||
| 資源タイプ | ||||||
| 資源タイプ | departmental bulletin paper | |||||
| 著者 |
大塚, 香代
× 大塚, 香代 |
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| 抄録(英) | ||||||
| 内容記述タイプ | Other | |||||
| 内容記述 | Let V be an affine variety and let G be a connected linear algebraic group acting on V in the usual sense. Let R=K[f_1,f_2,…, f_n] be a coordinate ring of V. Then our main result is that : When G acts rationally, an element f of R is G-invariant if and only if ƒ is B-invariant with a suitable Borel sub group B of G. Let V be a surface, and let V' be a non-singular surface which is birationally equivalent to V and dominates V. We denote by T the anti-regular map from V onto V'. If V' satisfies the following conditions 1)∿4) then we shall say that V' is a resolved surface of V. Let Ω^* be the set of all points of V' which correspond to singular points of V, then Ω^* is a closed set of V'. 1) T is biregular at every simple point of V. 2) Ω^* is pure of dimension one and each irreducible component of Ω^* is non-singular. 3) Two components of Ω^* make a normal crossing at any common point. 4) No three components of Ω^* have a common points. Theorem 1. A resolved surface V' of a given surface V exists. Theorem 2. Let F be the set of all resolved surfaces of V. If F has two elements V_1 and V_2,then it has a third element V_3 which dominates V_1 and V_2. | |||||
| 言語 | en | |||||
| 書誌情報 |
ja : 京都府立大学学術報告. 理学・生活科学・福祉学 en : The scientific reports of the Kyoto Prefectural University. Natural science, living science and welfare science 巻 4, 号 1, p. 1, 発行日 1964-09-25 |
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| 雑誌書誌ID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AN00062322 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | PISSN | |||||
| 収録物識別子 | 0075739X | |||||
