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References

  1. L. BĂdescu, On ample divisors, II. Proc. Week of Algebraic Geometry, Bucharest, 1980. Teubner Verlag, 1981.

    Google Scholar 

  2. W. Barth,M. E. Larsen, On the homotopy groups of complex projective algebraic manifolds. Math. Scand., 80 (1972), 88–94.

    MathSciNet  MATH  Google Scholar 

  3. E. M. Bese, On the spannedness and very ampleness of certain line bundles on the blowups of ℙ 2 and\(\mathbb{F}_e \). Math. Ann., 262 (1983), 225–238.

    Article  MathSciNet  MATH  Google Scholar 

  4. D. Gallarati, Una proprieta caratteristica delle rigate algebriche. Rend. Accad. Naz. Lincei (8), 21 (1956), 55–56.

    MathSciNet  MATH  Google Scholar 

  5. D. Gallarati, Ancora sulla differenza tra la classe e l’ordine di una superficie algebrica. Ricerche Mat., 6 (1957), 111–124.

    MathSciNet  MATH  Google Scholar 

  6. P. Griffiths, J. Harris, Principles of Algebraic Geometry. J. Wiley & Sons. New York, 1978.

    MATH  Google Scholar 

  7. P. Griffiths, J. Harris, Algebraic Geometry and local differential Geometry. Ann. Sci. Ec. Norm. Sup., (4) 12 (1979), 355–432.

    MathSciNet  MATH  Google Scholar 

  8. R. Hartshorne, Algebraic Geometry. Springer Verlag. Berlin-Heidelberg-New York, 1977.

    Book  MATH  Google Scholar 

  9. P. Ionescu, Embedded projective varieties of small invariants. Lect. Notes in Math. 1056, pp. 143–186. Springer Verlag. Berlin-Heidelberg-New York. 1984.

    Google Scholar 

  10. N. Katz, Etude cohomologique des pinceaux de Lefschetz. SGA 7II, Exposé XVIII, pp. 254–327. Lect. Notes Math. No 340. Springer Verlag. Berlin-Heidelberg-New York, 1973.

    Google Scholar 

  11. S. L. Kleiman, Tangency and Duality. Conference on Algebraic Geometry, Proc. Vancouver 1984, pp. 163-225. Can. Math. Soc., 1986.

  12. K. Lamotke, The topology of complex projective varieties after S. Lefschetz. Topology, 20 (1981), 15–51.

    Article  MathSciNet  MATH  Google Scholar 

  13. A. Landman, Examples of varieties with small dual varieties. Picard-Lefschetz theory and dual varieties. Two lectures at Aarhus Univ,. 1976.

  14. A. Lanteri, On the class of a projective algebraic surface. Arch. Math., 45 (1985), 79–85.

    Article  MathSciNet  MATH  Google Scholar 

  15. A. Lanteri, M. Palleschi, On the adjoint system to a very ample divisor on a surface and connected inequalities, II. Rend. Accad. Naz. Lincei (8), 71 (1981), 166–175.

    MathSciNet  MATH  Google Scholar 

  16. A. Lanteri, D. Struppa projective manifolds whose topology is strongly reflected in their hyperplane sections. Geometricae Dedicata 21 (1986), 357–374.

    MathSciNet  MATH  Google Scholar 

  17. E. L. Livorni, Classification of algebraic surfaces with sectional genus less than or equal to six, II: ruled surfaces with dim\(\Phi _{{\rm K}_X \otimes L} (X) = 1\). Canad. J. Math. 38 (1986), 1110–1121.

    Article  MathSciNet  MATH  Google Scholar 

  18. E. L. Livorni, Classification of algebraic surfaces with sectional genus less than or equal to six, III: ruled surfaces with dim\(\Phi _{{\rm K}_X \otimes L} (X) = 2\). Math. Scand. 59 (1986), 9–29.

    MathSciNet  MATH  Google Scholar 

  19. E. L. Livorni, A. J. Sommese, Threefolds of non-negative Kodaira dimension with sectional genus less than or equal to 15. Ann. Sc. Norm. Sup. Pisa (IV), 13 (1986), 537–558.

    MathSciNet  MATH  Google Scholar 

  20. E. Marchionna, Sopra una disuguaglianza tra i caratteri proiettivi di una superficie algebrica. Boll. U. M. I. (3), 10 (1955), 478–480.

    MathSciNet  MATH  Google Scholar 

  21. J. P. Murre, Classification of Fano threefolds according to Fano and Iskohvskih. In Algebraic Threefolds, Proc. Varenna, pp. 35–92. Lect. Notes Math. No 947. Springer Verlag. Berlin-Heidelberg-New York, 1982.

    Chapter  Google Scholar 

  22. A. J. Sommese, Hyperplane sections of projective surfaces I: the adjunction mapping. Duke Math. J., 46 (1979), 377–401.

    Article  MathSciNet  MATH  Google Scholar 

  23. A. J. Sommese, On the minimality of hyperplane sections of projective 3-folds. J. Reine Angew. Math., 329 (1981), 16–41.

    MathSciNet  MATH  Google Scholar 

  24. O. Zariski, Algebraic Surfaces, 2nd suppl. ed. Springer Verlag. Heidelberg, 1971.

    Book  MATH  Google Scholar 

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Lanteri, A., Turrini, C. Projective threefolds of small class. Abh.Math.Semin.Univ.Hambg. 57, 103–117 (1987). https://doi.org/10.1007/BF02941603

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