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On the class of an elliptic projective surface

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References

  1. A.Beauville, Surfaces algébriques complexes. Astérisque54 (1978).

  2. M. Beltrametti andA. J. Sommese, Zero cycles andk-th order embeddings of smooth projeetive surfaces. In: Projective Surfaces and their Classification, Proc. Cortona, 1988. Sympos. Math.32, 33–48 (1992).

    Google Scholar 

  3. T.Fujita, On certain polarized elliptic surfaces. In: Geometry of Complex Projective Varieties, Proc. Cetraro 1990, 153–163, Rende 1993.

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

    Google Scholar 

  5. D. Gallarati, Ancora sulla differenza tra la classe e l'ordine di una superficie algebrica. Ricerche Mat6, 111–124 (1957).

    Google Scholar 

  6. T. Katsuka andK. Ueno, On elliptic surfaces in characteristicp. Math. Ann.272, 291–330 (1985).

    Google Scholar 

  7. S. L. Kleiman, Tangency and duality. In: Proc. 1984 Vancouver Conference in Algebraic Geometry. Canad. Math. Soc. Conf. Proc.6, 163–225 (1986).

    Google Scholar 

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

    Google Scholar 

  9. A.Lanteri, M.Palleschi and F.Serrano, Elliptic surfaces with low genus polarizations. In preparation.

  10. M. Mella andM. Palleschi, Thek-very ampleness on an elliptic quasi-bundle. Abh. Math. Sem. Univ. Hamburg63, 215–226 (1993).

    Google Scholar 

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

    Google Scholar 

  12. F. Serrano, Elliptic surfaces with an ample divisor of genus two. Pacific J. Math.152, 87–199 (1992).

    Google Scholar 

  13. F.Serrano, Fibrations on algebraic surfaces. In: Geometry of Complex Projective Varieties, Proc. Cetraro 1990, 289–301, Rende 1993.

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

    Google Scholar 

  15. C. Turrini andE. Verderio, Projective surfaces of small class. Geom. Dedicata47, 1–14, (1993).

    Google Scholar 

  16. F. L. Zak, Surfaces with zero Lefschetz cycles. Mat. Zametki13, 869–880 (1973); English Transl. in Math. Notes13, 520–525 (1973).

    Google Scholar 

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  1. Antonio Lanteri

    Present address: Dipartimento di Matematica “F. Enriques”, Universitá degli Studi di Milano, Via C. Saldini, 50, 20133, Milano, Italy

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    1. Antonio Lanteri
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    Research done within the framework of the 40% project “Algebraic Geometry” of the Italian M. U. R. S. T.

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    Lanteri, A. On the class of an elliptic projective surface. Arch. Math 64, 359–368 (1995). https://doi.org/10.1007/BF01198093

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