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Local Galois theory in dimension two: Second edition

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 نشر من قبل Katherine Stevenson
 تاريخ النشر 2009
  مجال البحث
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We prove a generalization of Shafarevichs Conjecture for fields of Laurent series in two variables over an arbitrary field. While not projective, the absolute Galois group of such a field is shown to be semi-free. We also show that the function field of a smooth projective curve over a large field has semi-free absolute Galois group. In the first edition of this paper it was shown that these groups are quasi-free, which is weaker.



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