16 citations · 72 across the 55 of their papers we have counts for
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math.AG2007
Every place admits local uniformization in a finite extension of the function field
Hagen Knaf, Franz-Viktor Kuhlmann
We prove that every place P of an algebraic function field F|K of arbitrary characteristic admits local uniformization in a finite extension E of F. We show that E|F can be chosen…
math.AG2003★ 4 cited
Abhyankar places admit local uniformization in any characteristic
Hagen Knaf, Franz-Viktor Kuhlmann
We prove that every place of an algebraic function field of arbitrary characteristic admits local uniformization, provided that the sum of the rational rank of its value…
math.AG1999★ 16 cited
On local uniformization in arbitrary characteristic, I
Franz-Viktor Kuhlmann
We prove that every place of an algebraic function field F|K of arbitrary characteristic admits local uniformization in a finite extension F' of F. We show that F'|F can be chosen…