| File | |
| Title |
ある種の楕円曲面上の複素平面束について
|
| Title |
On Plane Bundles over Some Elliptic Surfaces
|
| Title Transcription |
アル シュ ノ ダエン キョクメン ジョウ ノ フクソ ヘイメン ソク ニツイテ
|
| Creator |
Matsunaga Hiromichi
|
| Source Title |
島根大学文理学部紀要. 理学科編
Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences
|
| Volume | 10 |
| Start Page | 31 |
| End Page | 34 |
| Journal Identifire |
ISSN 03709434
|
| Descriptions |
Abstract
M. F. Atiyah has given the cuassification theorem for holomorphic vector bundles over an elliptic curve, (Theorem 7, [2]). In the proof, two lemmas are effective, which are called the uniqueness and existence theorems. These are the motive for this paper. In §1, we prove that, over a product surface of a non singular curve and an elliptic curve, if a line bundle satisfies some condltion about a local triviality and the Chern class, then it admits a non trivial extension to a-plane bundle. This fact corresponds to Lemma 16, [2] . In §2, we define a strongly reducible plane bundle and prove that not every plane bundle is strongly reducible over a basic member (8, [4]) on an algebraic curve of genus greater than one. This fact corresponds to Lemma 15, [2].
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学文理学部
The Faculty of Literature and Science, Shimane University
|
| Date of Issued | 1976-12-20 |
| Access Rights | open access |
| Relation |
[NCID]
AN0010806X
|
