Simple birational extensions of two dimensional affine rational domains

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1. [1] S.S. Abhyankar and T.-T. Moh: Embeddings of the line in the plane, J. Reine Angew. Math.276 (1975) 148-166. Zbl0332.14004MR379502
2. [2] C. Chevalley: Algebraic functions of one variable. Mathematical Surveys No. VI. Am. Math. Soc., New York, 1951. Zbl0045.32301MR42164
3. [3] P. Eakin and W. Heinzer: A cancellation problem for rings, Conference on commutative algebra. Lecture Notes in Mathematics311. Springer, Berlin-Heidelberg -New York, 1973. Zbl0271.13010MR349664
4. [4] R. Hartshorne: Ample subvarieties of algebraic varieties. Lecture Notes in Mathematics156. Springer, Berlin-Heidelberg- New York, 1970. Zbl0208.48901MR282977
5. [5] M. Nagata: A remark on the unique factorization theorem. J. Math. Soc. Japan9 (1957) 143-145. Zbl0079.05405MR84490
6. [6] M. Raynaud: Anneaux locaux Henséliens. Lecture Notes in Mathematics169. Springer, Berlin-Heidelberg-New York, 1970. Zbl0203.05102MR277519
7. [7] P. Russell: Forms of the affine line and its additive groups. Pacific J. Math.32, No. 2. 527-539 (1970). Zbl0199.24502MR265367
8. [8] P. Russell: Field generators in two variables. J. Math. Kyoto Univ.15-3 (1975) 555-571. Zbl0341.14008MR399095
9. [9] A. Sathaye: On linear planes (in Proc. Amer. Math. Soc.) Zbl0345.14013MR409472
10. [10] J.R. Schafarewitsch: Grundzüge der algebraischen Geometrie. Vieweg, Braunschweig, 1972. Zbl0248.14001MR349669
11. [11] J.-P. Serre: Cohomologie Galoisienne. Lecture Notes in Mathematics5. Springer, Berlin-Göttingen-Heidelberg -New York, 1964. Zbl0259.12011MR1324577
12. [12] O. Zariski: Introduction to the problem of minimal models in the theory of algebraic surfaces. Publications of the Mathematical Society of Japan4, 1958. Zbl0093.33904MR97403

1. Peter Russell, Simple Galois extensions of two-dimensional affine rational domains