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On the Chern numbers of surfaces of general type. (English) Zbl 0374.14007


MSC:

14J25 Special surfaces
32J15 Compact complex surfaces
32J25 Transcendental methods of algebraic geometry (complex-analytic aspects)
14C30 Transcendental methods, Hodge theory (algebro-geometric aspects)
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References:

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[2] Borel, A.: Les fonctions automorphes de plusieur variables complexes. Bull. Soc. math. France80, 167-182 (1952) · Zbl 0048.06401
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[11] Kodaira, I.: On the structure of compact complex analystic surfaces I. Amer. J. of Math.86, 751-798 (1964) · Zbl 0137.17501 · doi:10.2307/2373157
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[13] Mumford, D.: Canonical ring of an algebraic surface. Appendix to [19]
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[15] ?afarevi?, I.: Algebraic surfaces, Moskva, 1965 · Zbl 0154.21001
[16] Van de Ven, A.: On the Chern numbers of certain complex and almost complex manifolds. Proc. Nat. Acad. Sc. U.S.A. 1624-1627 (1966) · Zbl 0144.21003
[17] Van de Ven, A.: On the Chern numbers of surfaces of general type. Inventiones math.36, 285-293 (1976) · Zbl 0347.14019 · doi:10.1007/BF01390014
[18] Zariski, O.: Algebraic Surfaces. Berlin-Heidelberg-New York: Springer 1971 · Zbl 0219.14020
[19] Zariski, O.: The theorem of Riemann-Roch for high multiples of an effective divisor on a surface. Ann. of Math.76, 550-612 (1962) · Zbl 0124.37001 · doi:10.2307/1970376
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