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Normal generation of line bundles of high degrees on smooth algebraic curves

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Abstract

We give necessary and sufficient conditions for non-special line bundles of degree2g — 2 and 2g — 3 being not normally generated. We also provide criteria for special line bundles of degreed > 2g — 6 being normally generated.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Yamaguchi University, 753-8512, Yamaguchi, Japan

    Takao Kato

  2. Department of Mathematics, Seoul National University, 151-742, Seoul, Korea

    Changho Keem

  3. Department of Mathematics, Faculty of Integrated Arts and Sciences, Tokushima University, 770-8502, Tokushima, Japan

    Akira Ohbuchi

Authors
  1. Takao Kato
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  2. Changho Keem
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  3. Akira Ohbuchi
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Corresponding authors

Correspondence to Takao Kato, Changho Keem or Akira Ohbuchi.

Additional information

This work was done under JSPS-KOSEF joint research program 1997. The first named author was partially supported by Grant-in-Aid for Scientific Research, the Ministry of Education, #10440051. The second named author was partially supported by BSRI(1998-015-D00023) and SNU(99-5-l-031). During the period when this paper was prepared for publication, the second named author was enjoying the hospitality of ICTP. The third named author was partially supported by Grant-in-Aid for Scientific Research, the Ministry of Education, #09640043.

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Kato, T., Keem, C. & Ohbuchi, A. Normal generation of line bundles of high degrees on smooth algebraic curves. Abh.Math.Semin.Univ.Hambg. 69, 319–333 (1999). https://doi.org/10.1007/BF02940883

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  • DOI: https://doi.org/10.1007/BF02940883

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