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On étale coverings of the affine space

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1008)

Keywords

  • Galois Group
  • Affine Space
  • Galois Closure
  • Rational Function Field
  • Etale Cover

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References

  1. Abhyankar, S. S. "Coverings of algebraic curves," Amer. J. Math., 79(1957), 825–856.

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  2. Grothendieck, A. "Étude locale des schémas et des morphismes des schémas," Chap. IV, Part 4, Éléments de Géoémtrie Algébrique. No. 32 (1967), Publ. Math. I.H.E.S. (cited as EGA IV).

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  3. Milne, J. S. Étale Cohomology Vol. 33 (1980), Princeton Mathematical Series. Princeton Univ. Press.

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  4. Miyanishi, M. "p-Cyclic coverings of the afine space," J. Algebra 63 (1980) 279–284.

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  5. Serre, J. P. "Espaces fibrés algébriques," exposé 1, Séminaire C. Chevalley, E.N.S.-Paris 1958.

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  6. Villamayor, O. E., "Separable algebras and Galois extensions," Osaka Math. J. 4(1967), 161–171.

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© 1983 Springer-Verlag

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Kambayashi, T., Srinivas, V. (1983). On étale coverings of the affine space. In: Dolgachev, I. (eds) Algebraic Geometry. Lecture Notes in Mathematics, vol 1008. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065701

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  • DOI: https://doi.org/10.1007/BFb0065701

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12337-8

  • Online ISBN: 978-3-540-40971-7

  • eBook Packages: Springer Book Archive