The projectivity of the fundamental group of an affine line

The projectivity of the fundamental group of an affine line

___

  • [CaF] J.W.S. Cassels and A. Fröhlich, Algebraic Number Theory, Academic Press, London, 1967.
  • [Dou] A. Douady, Determination d’un groupe de Galois, C. R. Acad. Sc. Paris 258 (1964), 5305–5308.
  • [FrG] G. Frey and W.-D. Geyer, Über die Fundamentalgruppe von Körpern mit Divisorentheorie, Journal für die reine und angewandte Mathematik 254 (1972), 110–122.
  • [FrJ] M.D. Fried and M. Jarden, Field Arithmetic, Ergebnisse der Mathematik (3) 11, Springer-Verlag, Heidelberg, 1986.
  • [Gre] M. J. Greenberg, Lectures on forms in many variables, Benjamin, New York, 1969.
  • [HaJ] D. Haran and M. Jarden, The absolute Galois group of C(x), Pacific Journal of Mathematics.
  • [HaV] D. Haran and H. Völklein, Galois groups over complete valued fields, Israel Journal of Mathematics, 93 (1996), 9–27.
  • [Har] D. Harbater, Fundamental groups and embedding problems in characteristic p, Contemporary Mathematics 186 (1995), 353-369.
  • [Ja1] M. Jarden, On free profinite groups of uncountable rank, Contemporary Mathematics 186 (1995), 371–383.
  • [La1] S. Lang, Algebra, Addison-Wesley, Reading, 1970.
  • [La2] S. Lang, Introduction to algebraic geometry, Interscience Publishers, New York, 1958.
  • [La3] S. Lang, Abelian Varieties, Interscience Tracts in Pure and Applied Mathematics 7, Interscience Publishers, New York, 1959.
  • [Lor] F. Lorenz Einführung in die Algebra II BI, Wissenschaftsverlag, Mannheim 1990.
  • [MaM] G. Malle, B. H. Matzat, Inverse Galois Theory, Springer-Verlag, Heidelberg, 1999.
  • [Mum] D. Mumford, Abelian Varieties, Oxford University Press, London, 1974.
  • [Pop] Etale Galois covers of affine smooth curves. The geometric case of a conjecture of Shafarevich. On Abhyankar’s conjecture. Inventiones mathematicae 120 (1995), 555– 578.
  • [Rib] L. Ribes, Introduction to Profinite Groups and Galois Cohomology, Queen’s papers in Pure and Applied Mathematics 24, Queen’s University, Kingston, 1970.
  • [Ser] J.-P. Serre, Construction de revetement etales de la droite affine en caracteristique p, Comptes Rendus de l’Academie des Sciences 311 (1990), 341–346.
  • [Sha] I.R. Shafarevich, On the construction of fields with a given Galois group of order la Collected Mathematical Papers 107–142, Springer, Berlin, 1989.
  • [Son] J. Sonn, Brauer groups, embedding problems, and nilpotent groups as Galois groups, Israel Journal of Mathematics 85 (1994), 391–405.