Skip to main content
Log in

Trigonal hyperplane sections of projective surfaces

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • [Be+Bi+So] M. Beltrametti, A. Biancofiore, A.J. Sommese, Projective n-folds of log general type, I, Trans. Amer. Math. Soc.,314 (1989), 825–849

    Article  MATH  MathSciNet  Google Scholar 

  • [Be+Fr+So] M. Beltrametti, P. Francia, A.J. Sommese, On Reider's method and higher order embeddings, Duke Math. J.,58 (1989), 425–439

    Article  MATH  MathSciNet  Google Scholar 

  • [Be+So] M. Beltrametti, Andrew J. Sommese, Zero cycles and kth order embeddings of smooth projective surfaces, 1988 Cortona Proceedings on Projective Surfaces and their Classification, ed. by F. Catanese, Symposia Mathematica INDAM, Academic Press

  • [Bu] A. Buium, On surfaces on degree at most 2n+1 inP n, Algebraic geometry, Bucharest 1982, Lecture Notes in Math.,1056, 47–67, Berlin-Heidelberg-New York, Springer 1984

    Book  Google Scholar 

  • [D] M. Demazure, Surfaces de Del Pezzo, Lecture Notes in Math.777, Springer Verlag, 1980, 21–69

  • [Fu] T. Fujita, On polarized manifolds whose adjoint bundles are not semipositive, in Algebraic Geometry, Sendai, 1985, Advanced Studies in pure Math,10 (1987), 167–178

  • [G+P] L. Gruson, C. Peskine, Gene des courbes de l'espace projectif, Algebraic Geometry, Proceedings Tromsø, Norway 1977, Lecture Notes in Math.687, Springer Verlag, 1978

  • [Ha] R. Hartshorme, Algebraic Geometry, Springer Verlag, Berlin-Heidelberg New York, 1977

    Google Scholar 

  • [L1] E. L. Livorni, Classification of algebraic surfaces with sectional genus less than or equal to six. I: Rational surfaces, Pacific J. Math.,113 (1984), 93–114

    MATH  MathSciNet  Google Scholar 

  • [L2] E. L. Livorni, Classification of algebraic non ruled surfaces with sectional genus less than or equal to six, Nagoya. Math. J.,100 (1985), 1–9

    MATH  MathSciNet  Google Scholar 

  • [L3] E. L. Livorni, Classification of algebraic surfaces with sectional genus less than or equal to six. III: Ruled surfaces with dim\(\varphi _{K_X \otimes L} (X) = 2\), Math. Scand,59 (1986), 9–29

    MATH  MathSciNet  Google Scholar 

  • [L+P] A. Lanteri, M. Palleschi, About the adjunction process for polarized algebraic surfaces, J. reine und angew. Math.,352 (1984), 15–23

    MATH  MathSciNet  Google Scholar 

  • [Ok1] C. Okonek, Über 2-codimensionale Untermannigfaltigkeiten vom Grad 7 inP 4 andP 5, Math. Z.,187 (1984), 209–219

    Article  MATH  MathSciNet  Google Scholar 

  • [Ok2] C. Okonek, Flächen vom Grad 8 inP 4, Math. Z.,191 (1986), 207–223

    Article  MATH  MathSciNet  Google Scholar 

  • [Re] I. Reider, Vector bundles of rank 2 and linear systems on algebraic surfaces, Ann. of Math.,127 (1988), 309–316

    Article  MathSciNet  Google Scholar 

  • [S-D] B. Saint-Donat, Projective models of K-3 surfaces, Am. J. of Math.,96 (1974), 602–639

    Article  MATH  MathSciNet  Google Scholar 

  • [Se1] F. Serrano, The adjunction mapping and hyperelliptic divisors on a surface, J. reine angew. Math.,381 (1987), 90–109

    MATH  MathSciNet  Google Scholar 

  • [Se2] F. Serrano, Extension of morphisms defined on a divisor, Math. Ann.,277 (1987), 395–413

    Article  MATH  MathSciNet  Google Scholar 

  • [Se3] F. Serrano, Surfaces having a hyperplane section with a special pencil, preprint

  • [So] A. J. Sommese, Hyperplane sections of projective surfaces. I, the adjunction mapping, Duke Math. J.,46 (1979), 377–401

    Article  MATH  MathSciNet  Google Scholar 

  • [So+VdV] A. J. Sommese and A. Van de Ven, On the adjunction mapping, Math. Ann.,278 (1987), 593–603

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fania, M.L. Trigonal hyperplane sections of projective surfaces. Manuscripta Math 68, 17–34 (1990). https://doi.org/10.1007/BF02568748

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02568748

Keywords

Navigation