107 citations · 115 across the 5 of their papers we have counts for
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math.AG2009★ 1 cited
Local Galois theory in dimension two: Second edition
David Harbater, Katherine F. Stevenson
We prove a generalization of Shafarevich's Conjecture for fields of Laurent series in two variables over an arbitrary field. While not projective, the absolute Galois group of such…
math.AG2009★ 5 cited
The local lifting problem for actions of finite groups on curves
Ted Chinburg, Robert Guralnick, David Harbater
Let be an algebraically closed field of characteristic . We study obstructions to lifting to characteristic 0 the faithful continuous action of a finite group on…
math.AG2006★ 2 cited
On function fields with free absolute Galois groups
David Harbater
We prove that certain fields have the property that their absolute Galois groups are free as profinite groups: the function field of a real curve with no real points; the maximal a…