Title Transcription | シュスウ 3 ノ コンパクト リーマン メンジョウ ノ セイソク θ チョクセン ソク
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Title Alternative (English) | Holomorphic θ-Line Bundles over a Compact Riemann Surface of Genus(3)
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File | |
language |
eng
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Author |
Matsunaga, Hiromichi
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Description | This paper is a continuation of the author's precediug note [5]. We want to study mainly about the group of equivalence classes of holomorphic Z_2-line bundles over a compact Riemann surface of genus three. To assure that an involution is holomorphic and to see explicitly an aspect of a ramification, we treat plane algebraic curves without singularity. §1 contains reformulations of some known results in convenient forms, and these are used explicitly or implicitly in §2 and Remark. Especially, a fundamental result due to A. Hurwitz is effectively used to see topological structures of surfaces. The exact sequence (3) in §2 is one of our main results. In Remark an example is given, and it is proved that there exists no holomorphic G-line bundle other than trivial bundle.
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Journal Title |
Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences
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Volume | 9
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Start Page | 13
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End Page | 18
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ISSN | 03709434
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Published Date | 1975-12-20
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NCID | AN0010806X
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Publisher | 島根大学文理学部
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Publisher Aalternative | The Faculty of Literature and Science, Shimane University
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NII Type |
Departmental Bulletin Paper
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OAI-PMH Set |
Faculty of Science and Engineering
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他の一覧 |