References
Abhyankar, S.S.: Resolution of singularities of embedded algebraic surfaces. New York: Academic Press 1966
Iitaka, S.: Logarithmic Kodaira dimension of algebraic varieties. In: Complex analysis and algebraic geometry. Tokyo: Iwanami Shoten 1977
Fujita, T.: On Zariski problem. Proc. Japan Acad.55A, 106–110 (1979)
Kambayashi, T.: On the absence of non-trivial separable forms of the affine plane. J. Algebra35, 449–456 (1975)
Miyanishi, M., Sugie, T.: Affine surfaces containing cyclinderlike open sets. J. Math. Kyoto Univ20, 11–42 (1980)
Nagata, M.: On embedding an abstract variety in a complete variety. J. Math. Kyoto Univ.2, 1–10 (1962)
Nagata, M.: On rational surfaces. I. Mem. Coll. Sci. Univ. Kyoto. Ser. A32, 351–370 (1960)
Russell, P., Sathaye, A.: On finding and cancelling variables ink[X,Y,Z]. J. Algebra57, 151–166 (1979)
Zariski, O.: The problem of minimal models in the theory of algebraic surfaces. Am. J. Math.80, 146–184 (1958)
Zariski, O.: On Castelnuovo's criterion of rationalityp a=P 2=0 of an algebraic surface. Illinois J. Math.2, 303–315 (1958)
Eakin, P., Heinzer, W.: A cancellation problem for rings. In: Conference on commutative algebra, pp. 61–77. Lecture Notes in Mathematics 311. Berlin, Heidelberg, New York: Springer 1970
Russell, P.: Hamburger-Noether expansions and approximate roots of polynomials. manuseripta math.31, 25–95 (1980)
Sugie, T.: On a characterization of surfaces containing cylinderlike open sets. Osaka J. Math.17, 363–376 (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Russell, P. On affine-ruled rational surfaces. Math. Ann. 255, 287–302 (1981). https://doi.org/10.1007/BF01450704
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01450704