File | |
Title |
ある種の曲面の自己同型写像と同変直線束について
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Title |
Automorphisms of Some Surfaces and Equivariant Line Bundles
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Title Transcription |
アル シュ ノ キョクメン ノ ジコ ドウケイ シャゾウ ト ドウヘン チョクセン ソク ニツイテ
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Creator |
Matsunaga Hiromichi
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Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
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Volume | 13 |
Start Page | 23 |
End Page | 29 |
Journal Identifire |
ISSN 03879925
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Descriptions |
In §1 it is proved that any elliptic surface without exceptional curve admits a canonical involution, which is an extension of the involution in [7]. Since a general elliptic curve admits the unique non trivial involutive isomorphism, then we will call this a canonicall one. By making use of a lemma in III [2], it is easy to construct the involution but in order to find invariant divisors, we make it concretely. Non singular surfaces of degree 4 in P^3 are K3 surfaces and one of them is a singular K3 surface. We deduce an informatiom about the homotopical cell structure of a K3 surface. Automorphisms of this surface are constructed in §2. Some of them translate a global section to another section and others do not preserve the elliptic structure. In the last section some remarks are given about clliptic modular sufaces which are singular K3 surfaces.
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Language |
eng
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Resource Type | departmental bulletin paper |
Publisher |
島根大学理学部
The Faculty of Science, Shimane University
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Date of Issued | 1979-12-20 |
Access Rights | open access |
Relation |
[NCID] AN00108106
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