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On Zariski problem. (English) Zbl 0444.14026


MSC:

14J25 Special surfaces
14M20 Rational and unirational varieties
14N99 Projective and enumerative algebraic geometry
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References:

[1] S. Iitaka: On D-dimensions of algebraic varieties. J. Math. Soc. Japan, 23, 356-373 (1971). · Zbl 0212.53802
[2] S. Iitaka: Logarithmic Kodaira dimension of algebraic varieties. Complex Analysis and Algebraic Geometry, Iwanami (1977). · Zbl 0351.14016
[3] S. Iitaka: Some applications of logarithmic Kodaira dimension. Proc. Int. Symp. Algebraic Geometry in Kyoto, Kinokuniya, 185-206 (1977). · Zbl 0499.14008
[4] S. Iitaka and T. Fujita: Cancellation theorem for algebraic varieties. J. Fac. Soc. Univ. of Tokyo, 24, 123-127 (1977). · Zbl 0353.14013
[5] T. Kambayashi: On the absence of non-trivial separable forms of the affine plane. J. Algebra, 35, 449-456 (1975). · Zbl 0309.14029
[6] M. Miyanishi: An algebraic characterization of the affine plane. J. Math. Kyoto Univ., 15, 169-184 (1975). · Zbl 0304.14021
[7] M. Miyanishi and T. Sugie: Affine surfaces containing cylinderlike open sets (to appear in J. Math. Kyoto Univ.). · Zbl 0445.14017
[8] C. P. Ramanujan: A topological characterization of the affine plane as an algebraic variety. Ann. of Math., 94, 69-88 (1971). JSTOR: · Zbl 0218.14021
[9] Zariski: The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface. Ibid., 76, 560-615 (1962). JSTOR: · Zbl 0124.37001
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