Green's conjecture for general P-gonal curves of large genus

  • Frank-Olaf Schreyer
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1389)


Algebraic Curf Exceptional Divisor Mapping Cone Linear Series Grade Betti Number 
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  1. [ACGH]
    E. Abarello, M. Cornalba, P.A. Griffith, J. Harris: Geometry of algebraic curves I, Springer Verlag Heidelberg-Berlin-New York 1985.CrossRefGoogle Scholar
  2. [E]
    L. Ein: A remark on syzygies of the generic canonical curve, J. Diff. Geom. 26 (1987), 361–365.MathSciNetzbMATHGoogle Scholar
  3. [F]
    W. Fulton: Hurwitz schemes and irreducibility of moduli of algebraic curves, Ann. Math. 90 (1969), 542–575.MathSciNetCrossRefzbMATHGoogle Scholar
  4. [G]
    M. Green: Koszul cohomology and the geometry of projective varieties I, J. Diff. Geom. 19 (1984), 125–171.MathSciNetzbMATHGoogle Scholar
  5. [GL]
    M. Green, R. Lazarsfeld: On the projective normality of complete linear series on an algebraic curve, Invent. math. 83 (1986), 73–90.MathSciNetCrossRefzbMATHGoogle Scholar
  6. [P]
    K. Petri: Über die invariante Darstellung algebraischer Funktionen einer Veränderlichen, Math. Ann. 88 (1923), 242–289.MathSciNetCrossRefzbMATHGoogle Scholar
  7. [S1]
    F.O. Schreyer: Syzygies of canonical curves and special linear series, Math. Ann. 275 (1986), 105–137.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [S2]
    F.O. Schreyer: A standard basis approach to syzygies of canonical curves, preprint.Google Scholar
  9. [V]
    C. Voisin: Courbes tétragonales et cohomologie de Koszul, J. reine angew. Math. 387 (1988), 111–121.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Frank-Olaf Schreyer
    • 1
  1. 1.Fachbereich MathematikUniversität KaiserslauternKaiserslauternGermany

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