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On affine-ruled irrational surfaces. (English) Zbl 0499.14009

##### MSC:
 14J10 Families, moduli, classification: algebraic theory 14J25 Special surfaces 14M20 Rational and unirational varieties 14E25 Embeddings in algebraic geometry
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##### References:
 [1] Bombieri, E., Husemoller, D.: Classification and embeddings of surfaces. Proc. Symp. Pure Math.29, 329-420 (1975) · Zbl 0326.14009 [2] Fujita, T.: On Zariski problem. Proc. Japan Acad.55 A, 106-110 (1979) · Zbl 0444.14026 [3] Hartshorne, R.: Ample subvarieties of algebraic varieties. Lecture Notes in Mathematics, vol. 156. Berlin-Heidelberg-New York: Springer 1970 · Zbl 0208.48901 [4] Iitaka, S.: Logarithmic Kodaira dimension of algebraic varieties. In: Complex analysis and algebraic geomtry. Tokyo: Iwanami Shoten 1977 · Zbl 0351.14016 [5] Kambayashi, T.: On Fujita’s strong cancellation theorem for the affine plane. J. Fac. Sci. Univ. of Tokyo.27, 535-548 (1980) · Zbl 0453.14015 [6] Kawamata, Y.: Addition formula of logarithmic Kodaira dimensions for morphisms of relative dimension one. Proc. Internat. Symp. on Algebraic Geometry Kyoto 1977, pp. 207-217. Tokyo: Kinokuniya 1978 · Zbl 0437.14018 [7] Maruyama, M.: On classification of ruled surfaces. Lectures in Mathematics, Kyoto University 3. Tokyo: Kinokuniya 1970 · Zbl 0214.20103 [8] Miyanishi, M.: Non-complete algebraic surfaces. Lecture Notes in Mathematics, vol. 857, Berlin-Heidelberg-New York: Springer 1981 · Zbl 0456.14018 [9] Miyanishi, M., Sugie, T.: Affine surfaces containing cylinderlike open sets. J. Math. Kyoto Univ.20, 11-42 (1980) · Zbl 0445.14017 [10] Mori, S.: Threefolds whose canonical bundles are not numerically effective. Ann. of Math. (in press) (1982) · Zbl 0493.14020 [11] Russell, P.: On affine-ruled rational surfaces. Math. Ann.255, 287-302 (1981) · Zbl 0454.14015 · doi:10.1007/BF01450704 [12] Sugie, T.: On a characterization of surfaces containing cylinderlike open sets. Osaka J. Math.17, 363-376 (1980) · Zbl 0445.14018 [13] Maruyama, M.: On automorphism groups of ruled surfaces. J. Math. Kyoto Univ.11, 89-112 (1971) · Zbl 0213.47803
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