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On K-spanned embeddings of projective manifolds

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Abstract

We show that h0(X, L)≥2k for every k-spanned line bundle on a smooth complete complex surface X.

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References

  1. B. Adlandsvik,Joins and higher secant varieties, Math. Scand.61 (1987), 213–222

    MATH  MathSciNet  Google Scholar 

  2. E. Ballico,A characterization of the Veronese surface, Proc. Amer. Math. Soc.105 (1989), 531–534

    Article  MATH  MathSciNet  Google Scholar 

  3. E. Ballico,On k-spanned projective surfaces, in: Proc. Algebraic Geometry L’Aquila 1988, p. 23, Lect. Notes in Math.1417, Springer-Verlag, 1989

  4. E. Ballico,Appendix contained in “On the 2 very ampleness of the adjoint bundle”, (by M. Andreatta and M. Palleschi) Manuscripta Math.73 (1991), 45–62

    MathSciNet  Google Scholar 

  5. E. Ballico, M. Beltrametti,On 2-spannedness for the adjunction mapping, Manuscripta Math.61 (1988), 447–458

    Article  MATH  MathSciNet  Google Scholar 

  6. E. Ballico, Ph. Ellia,The maximal rank conjecture for non-special curves in P n, Math. Z.196 (1987), 355–367

    Article  MATH  MathSciNet  Google Scholar 

  7. M. Beltrametti, A. J. Sommese,On k-spannedness for projective surfaces, Proc. Algebraic Geometry L’Aquila 1988, pp. 24–51, Lect. Notes in Math.1417, Springer-Verlag, 1989

  8. 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 

  9. B. Fantechi,On the superadditivity of secant defects, Bull. Soc. math. France118 (1990), 85–100

    MATH  MathSciNet  Google Scholar 

  10. W. Fulton, J. Harris, R. Lazarsfeld,Excess linear series on an algebraic curve, Proc. Amer. Math. Soc.92, (1984), 320–322

    Article  MATH  MathSciNet  Google Scholar 

  11. S. Kleiman,On the transversality of a general translate, Compos. Math.28 (1974), 287–297.

    MATH  MathSciNet  Google Scholar 

  12. S. Kleiman, A. Altman,Bertini theorems for hypersurface sections containing a subscheme, Comm. in Alg.7 (1979), 775–790.

    MATH  MathSciNet  Google Scholar 

  13. M. Reid,Surfaces of small degree, Math. Ann.275 (1986), 71–80

    Article  MATH  MathSciNet  Google Scholar 

  14. G. Xiao,Algebraic surfaces with high canonical degree, Math. Ann.274 (1986), 473–483

    Article  MATH  MathSciNet  Google Scholar 

  15. F. L. Zak,Linear systems of hyperplane sections on varieties of low codimension, Functional Anal. Appl.19 (1985), 165–173

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Dept. of Mathematics, University of Trento, 38050, Povo (TN), Italy

    E. Ballico

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  1. E. Ballico
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Ballico, E. On K-spanned embeddings of projective manifolds. Manuscripta Math 75, 103–107 (1992). https://doi.org/10.1007/BF02567075

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  • DOI: https://doi.org/10.1007/BF02567075

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