Canonical models of surfaces of general type. (English) Zbl 0259.14005


14J10 Families, moduli, classification: algebraic theory
32J15 Compact complex surfaces
14M07 Low codimension problems in algebraic geometry
14E25 Embeddings in algebraic geometry
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[1] M. Artin, Some numerical criteria for contractibility of curves on algebraic surfaces,Amer. J. Math.,84 (1962), 485–496. · Zbl 0105.14404
[2] ——, On isolated rational singularities of surfaces,Amer. J. Math. 88 (1966), 129–136. · Zbl 0142.18602
[3] E. Bombieri, The pluricanonical map of a complex surface,Springer Lecture Notes,155 (1970), 35–87. · Zbl 0213.47601
[4] L. Campedelli, Sopra alcuni piani doppi notevoli con curva di diramazione del decimo ordine,Atti Accad. Naz. Lincei,15 (1932), 358–362. · Zbl 0004.16102
[5] F. Enriques,Le Superficie Algebriche, Zanichelli, Bologna, 1949.
[6] L. Godeaux,Les surfaces algébriques non rationnelles de genres arithmétique et géométrique nuls, Paris, 1934. · Zbl 0009.22502
[7] K. Kodaira, Pluricanonical systems on algebraic surfaces of general type,J. Math. Soc. Japan,20 (1968), 170–192. · Zbl 0157.27704
[8] —, Pluricanonical systems on algebraic surfaces of general type, II, to appear.
[9] S. Lang,Abelian Varieties, Interscience, New York, 1958.
[10] D. Mumford, The canonical ring of an algebraic surface,Annals of Math.,76 (1962), 612–615.
[11] —, Lectures on Curves on an Algebraic Surface,Annals of Math. Studies,59 (1966). · Zbl 0187.42701
[12] ——, Pathologies III,Amer. J. Math.,89 (1967), 94–104. · Zbl 0146.42403
[13] A. P. Ogg, On pencils of curves of genus two,Topology,5 (1966), 355–362. · Zbl 0145.17802
[14] C. P. Ramanujam, Remarks on the Kodaira vanishing theorem, to appear. · Zbl 0276.32018
[15] I. R. Šafarevič & others,Algebraic Surfaces, Moskva, 1965.
[16] T. Van de Ven, On the Chern numbers of certain complex and almost complex manifolds,Proc. Nat. Acad. Sci. U.S.A.,55 (1966), 1624–1627. · Zbl 0144.21003
[17] O. Zariski, The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface,Annals of Math.,76 (1962), 550–612. · Zbl 0124.37001
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