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On K-spannedness for projective surfaces

Part of the Lecture Notes in Mathematics book series (LNM,volume 1417)

Keywords

  • Exact Sequence
  • Vector Bundle
  • Line Bundle
  • Elliptic Curve
  • Ample Line Bundle

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References

  1. E. Arbarello, M. Cornalba, P.A. Griffiths, J. Harris, Geometry of Algebraic Curves Volume I, Grundlehren, 267 Springer-Verlag (1985).

    Google Scholar 

  2. A. Beauville, Surfaces algébriques complexes, Astérisque 54 (1978).

    Google Scholar 

  3. M. Beltrametti, P. Francia, A.J. Sommese, On Reider's method and higher order embeddings, Duke Math. Journal, April 1989.

    Google Scholar 

  4. R. Bott, On a topological obstruction to integrability, Proc. Symp. Pure Math. XVI, (1970), 127–131.

    CrossRef  MathSciNet  MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  6. R. Hartshorne, Algebraic Geometry, G.T.M. 52, Springer-Verlag (1977).

    Google Scholar 

  7. P. Ionescu, Embedded projective varieties of small invariants, Proceedings of the Week of Algebraic Geometry, Bucharest 1982, Lectures Notes in Math., Springer-Verlag, 1056 (1984).

    Google Scholar 

  8. A. Kumpera, D. Spencer, Lie equations, vol. I: General theory, Princeton Univ. Press, New Jersey, 1972.

    MATH  Google Scholar 

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

    MathSciNet  MATH  Google Scholar 

  10. E.L. Livorni, Classification of algebraic surfaces with sectional genus less than or equal to six III: Ruled surfaces with dim φK XΘL(X)=2, Math. Scand., 59 (1986), 9–29.

    MathSciNet  MATH  Google Scholar 

  11. A.J. Sommese, Compact Complex Manifolds Possessing a Line Bundle with a Trivial Jet Bundle, Abh. Math. Sem. Univ. Hamburg, 55(1985), 151–170.

    CrossRef  MathSciNet  Google Scholar 

  12. A.J. Sommese, Ample divisors on Gorenstein varieties, Proceedings of Complex Geometry Conference, Nancy 1985, Revue de l'Institut E. Cartan, 10 (1986).

    Google Scholar 

  13. A.J. Sommese, A. Van de Ven, On the adjunction mapping, Math. Ann., 278 (1987), 593–603.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. E. Ballico, A characterization of the Veronese surface, to appear in Proc. A.M.S.

    Google Scholar 

  15. E. Ballico, On k-spanned projective surfaces, in this volume.

    Google Scholar 

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© 1990 Springer-Verlag

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Beltrametti, M., Sommese, A.J. (1990). On K-spannedness for projective surfaces. In: Sommese, A.J., Biancofiore, A., Livorni, E.L. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1417. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083331

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  • DOI: https://doi.org/10.1007/BFb0083331

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52217-1

  • Online ISBN: 978-3-540-46934-6

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