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Remarks on normal generation of line bundles on algebraic curves

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Abstract

We determine necessary and sufficient conditions for nonspecial line bundles of degree 2% - 4 and 2g - 5 being not normally generated. Furthermore, we also determine necessary and suffcient conditions for speciality 1 line bundles of degree 2g -7,2% - 8, and 2g - 9 being not normally generated.

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Authors and Affiliations

  1. Department of Mathematics, Kyushu University, 6-10-1 Hakozaki Higasi-ku, Fukuoka 812, Japan

    K. Akahori

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  1. K. Akahori
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Correspondence to K. Akahori.

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O. Riemenschneider

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Akahori, K. Remarks on normal generation of line bundles on algebraic curves. Abh.Math.Semin.Univ.Hambg. 74, 181–191 (2004). https://doi.org/10.1007/BF02941534

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  • DOI: https://doi.org/10.1007/BF02941534

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