Line bundles and syzygies of trigonal curves

  • G. Martens
  • F. -O. Scheeyer


Line Bundle Linear Span Global Section Hyperplane Section Linear Series 
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  1. [A-C-G-H]
    ?. Arbarello,M. Coenalba,P. A. Griffiths,J. Harris, Geometry of algebraic curves I, Springer 1985.Google Scholar
  2. [B]
    E. Bertini, Introduzione di geometria proiettiva degli iperspaci, Messina 1923.Google Scholar
  3. [B-E, 1]
    D. A. Buchsbaum,D. Eisenbud, What makes a complex exact? J. Alg.25 (1973), 259–268.zbMATHCrossRefMathSciNetGoogle Scholar
  4. [B-E, 2]
    D. A. Buchsbaum, D. Eisenbud, Generic free resolutions and a family of generically perfect ideals. Adv. Math.18 (1975), 245–301.zbMATHCrossRefMathSciNetGoogle Scholar
  5. [B-E, 3]
    D. A. Buchsbaum, D. Eisenbud, Algebra structures for finite free resolutions..., Amer. J. Math.99 (1977), 447–485.zbMATHCrossRefMathSciNetGoogle Scholar
  6. [C]
    E. B. Christoffel, Über die kanonische Form der Riemannschen Integrale erster Gattung. Ann. di mat. (2),9 (1878), 240–301.CrossRefGoogle Scholar
  7. [Ge]
    W.-D. Geyer, Die Theorie der algebraischen Punktionen einer Veränderlichen nach Dedekind-Weber. In: W. Scharlau: Richard Dedekind 1831/ 1981. Vieweg 1981, 109–133.Google Scholar
  8. [G]
    M. Green, Koszul cohomology and the geometry of projective varieties. J. Differ. Geom.19 (1984), 125–171.Google Scholar
  9. [Gr]
    A. Grothendieck, Théorèmes de dualité pour les faisceaux algebriques cohérent. Seminaire Bourbaki 1957, Exposé 149, Secrétariat mathématique Paris 5.Google Scholar
  10. [G-L]
    M. Green, R. Lazaesfeld, On the projective normality of complete linear series on an algebraic curve. Invent, math.83 (1986), 73–90zbMATHCrossRefGoogle Scholar
  11. [H]
    J. Harris, A bound on the geometric genus of projective varieties. Ann. Sc. Norm. Pisa8 (1981), 35–68.zbMATHGoogle Scholar
  12. [Har]
    R. Hartshorne, Algebraic geometry. Springer 1977.Google Scholar
  13. [H-L]
    K. Hensel,G. Landsberg, Theorie der algebraischen Funktionen einer Variablen. Teubner 1902, 31. Vorlesung.Google Scholar
  14. [L-M, 1]
    H. Lange, G. Martens, Normal generation and presentation of line bundles of low degree on curves. J. r. a. Math.356 (1985), 1–18.zbMATHMathSciNetGoogle Scholar
  15. [L-M, 2]
    H. Lange, G. Martens, Normal generation of line bundles of degree 2p — 2 on curves. Abh. Math. Sem. Univ. Hamburg55 (1985), 69–73zbMATHCrossRefMathSciNetGoogle Scholar
  16. [Mar]
    A. Maroni, Le serie lineari speciali sulle curve trigonali. Ann. di mat. (4),25 (1946), 341–354.CrossRefMathSciNetGoogle Scholar
  17. [Mum]
    D. Mumford, Prym varieties. I. Appendix: A theorem of Martens. In: Contributions to Analysis, 1974, 348–350.Google Scholar
  18. [P]
    K. Petri, Über die invariante Darstellung algebraischer Funktionen einer Veränderlichen, Math. Ann.88 (1923) 242–289.zbMATHCrossRefMathSciNetGoogle Scholar
  19. [Sch]
    F.-O. Schreyer, Syzygies of canonical curves and special linear series. Math. Ann.275 (1986), 105–137zbMATHCrossRefMathSciNetGoogle Scholar
  20. [W]
    H. Weyl, Classical groups. Princeton University Press, 1946.Google Scholar

Copyright information

© Mathematische Seminar 1986

Authors and Affiliations

  • G. Martens
    • 1
  • F. -O. Scheeyer
    • 2
  1. 1.Mathematisches InstitutUniversität ErlangenErlangen
  2. 2.Fachbereich MathematikUniversität KaiserslauternKaiserslautern

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