Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences

Faculty of Literature and Science, Shimane University

ISSN:0370-9434

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Use this link to cite this item : https://ir.lib.shimane-u.ac.jp/3422

Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences 8

1975-03-10 発行

種数２のコンパクトリーマン面上の正則θ-直線束

Holomorphic θ-Line Bundles over a Compact Riemann Surface of Genus(2)

Matsunaga, Hiromichi

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In this note, the auther determine the order of the group which consists of equivalence classes of holomorphic Z_2-line bundles over a compact Riemann surface of genus 2. The order is 32 for each degree. Main tools are an exact sequence due to A. Grothendieck and the representation of the Picard variety as the quotient variety of the first cohomology group with coefficient in the complex number field C.

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c0030008r003.pdf 410 KB

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Holomorphic θ-Line Bundles over a Compact Riemann Surface of Genus(2)/

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