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Barth, W., Peters, C. andVan De Ven, A.,Compact complex surfaces. Springer, Berlin-Heidelberg-New York-Tokyo, 1984.
Bombieri, E., Canonical models of surfaces of general type,Publ. Math. Inst. Hautes Etud. Sci.42 (1973), 171–219.
Catanese, F., Surface withK2=p g =1 and their period mapping. In:Algebraic Geometry. Proc. Copenhagen 1978, pp. 1–29. Lect. Notes Math. 732, Springer, New York-Heidelberg-Berlin 1979.
Cossec, F. R., Projective models of Enriques surfaces,Math. Ann.,265 (1983), 283–334.
Dolgachev, I., Algebraic surfaces withp g =q=o. In:Algebraic surfaces C. I. M. E. 1977, pp. 97–125, Liguori, Napoli, 1981.
Fujita, T., On the hyperplane section principle of Lefschetz,J. Math. Soc. Japan,32 (1980), 143–169.
Fujita, T., On the structure of polarized manifolds with total deficiency one, I,J. Math. Soc. Japan,32 (1980), 709–725.
Gizatullin, M. H., On affine surfaces that can be completed by a non-singular rational curve,Izv. Akad. Nauk SSSR, Sci. Math.,34 (1970), 787–810.
Griffiths, P., Harris, J.,Principles of Algebraic Geometry, Wiley, New York, 1978.
Hartshorne, R.,Algebraic Geometry, Springer, New York-Heidelberg-Berlin, 1977.
Horikawa, E., Algebraic surfaces of general type with smallc 21 , II,Invent. Math.,37 (1976), 121–155.
Ionescu, P., An enumeration of all smooth projective varieties of degree 5 and 6, I.N.C.R.E.S.T. Preprint Series Math. no. 74, 1981.
Lanteri, A., Palleschi, M., About the adjunction process for polarized algebraic surfaces,J. Reine Angew. Math.,352 (1984), 15–23.
Lanteri, A., Algebraic surfaces containing a smooth curve of genusq(S) as an ample divisor,Geometriae Dedicata,17 (1984), 189–197.
Livorni, E. L., Classification of algebraic surfaces with sectional genus less than or equal to six: I rational surfaces,Pacific J. Math.,113 (1984) 93–114.
Livorni, E. L., Classification of algebraic non-ruled surfaces with sectional genus less than or equal to six.Nagoya Math. J.100 (1985), 1–9.
Mori, S., On a generalization of complete intersections.J. Math. Kyoto Univ.,15 (1975), 619–646.
Saint Donat, B., projective models ofK3 surfaces,Amer. J. Math.,96 (1974), 602–648.
Sommese, A. J., Hyperplane sections of projective surfaces I: the adjunction mapping,Duke Math. J.,46 (1979), 377–401.
Sommese, A. J., The birational theory of hyperplane sections of projective threefolds, preprint.
Suwa, T., On ruled surfaces of genus 1,J. Math. Soc. Japan21 (1969), 291–311.
Ueno, K.,Classification Theory of Algebraic Varieties and Compact Complex Spaces, Lect. Notes Math. 439, Springer, Berlin-Heidelberg-New York, 1975.
Zariski, O.,Algebraic Surfaces, 2nd suppl. ed. Springer-Verlag, Heidelberg, 1971.
Kollar, J., Higher direct images of dualizing sheaves I,Ann. of Math.123 (1986), 11–42.
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Beltrametti, M., Lanteri, A. & Palleschi, M. Algebraic surfaces containing an ample divisor of arithmetic genus two. Ark. Mat. 25, 189–210 (1987). https://doi.org/10.1007/BF02384443
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DOI: https://doi.org/10.1007/BF02384443