Simple Galois extensions of two-dimensional affine rational domains

Peter Russell

Compositio Mathematica (1979)

  • Volume: 38, Issue: 3, page 253-276
  • ISSN: 0010-437X

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Russell, Peter. "Simple Galois extensions of two-dimensional affine rational domains." Compositio Mathematica 38.3 (1979): 253-276. <http://eudml.org/doc/89403>.

@article{Russell1979,
author = {Russell, Peter},
journal = {Compositio Mathematica},
keywords = {Polynomial Ring; Simple Ring Extension; Cancellation Problem; Embedded Plane Problem},
language = {eng},
number = {3},
pages = {253-276},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Simple Galois extensions of two-dimensional affine rational domains},
url = {http://eudml.org/doc/89403},
volume = {38},
year = {1979},
}

TY - JOUR
AU - Russell, Peter
TI - Simple Galois extensions of two-dimensional affine rational domains
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 3
SP - 253
EP - 276
LA - eng
KW - Polynomial Ring; Simple Ring Extension; Cancellation Problem; Embedded Plane Problem
UR - http://eudml.org/doc/89403
ER -

References

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  1. [1] S.S. Abhyankar, P. Eakin and W. Heinzer: On the uniqueness of the coefficient ring in a polynomial ring. J. Algebra23 (1972) 310-342. Zbl0255.13008MR306173
  2. [2] S.S. Abhyankar and T.-T. Moh: "Embeddings of the line in the plane". J. Reine Angew. Math.276 (1975), 148-166. Zbl0332.14004MR379502
  3. [3] R. Ganong: On plane curves with one place at infinity. Thesis. McGill University, 1978. MR534219
  4. [4] M. Nagata: "On automorphism group of k[X, Y]". Lectures in Mathematics5, Kyoto University, Kinokuniya Bookstore, Tokyo. Zbl0306.14001MR337962
  5. [5] P. Russell: "Simple birational extensions of two-dimensional affine rational domains". Compositio Math.33 (1976), 197-208. Zbl0342.13003MR429935
  6. [6] P. Russell and A. Sathaye: "On finding and cancelling variables in k[X, Y, Z]". (To appear in J. Algebra). Zbl0411.13011MR533106
  7. [7] A. Sathaye: On linear planes. Proc. Amer. Math. Soc.56 (1976), 1-7. Zbl0345.14013MR409472
  8. [8] J.-P. Serre, Arbres, amalgames et SL2. Collège de France, 1968/69. 
  9. [9] D. Wright: Cancellation of variables of the form bTn - a. (To appear). Zbl0383.13014

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