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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
Title Alternative (English)
On Plane Bundles over Some Elliptic Surfaces
File
language
eng
Author
Matsunaga, Hiromichi
Description
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].
Journal Title
Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences
Volume
10
Start Page
31
End Page
34
ISSN
03709434
Published Date
1976-12-20
NCID
AN0010806X
Publisher
島根大学文理学部
Publisher Aalternative
The Faculty of Literature and Science, Shimane University
NII Type
Departmental Bulletin Paper
OAI-PMH Set
Faculty of Science and Engineering
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