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Currently displaying 1 – 3 of 3

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Abhyankar's conjecture on Galois groups over curves.

David Harbater — 1994

Inventiones mathematicae

Arithmetic discriminants and horizontal intersections.

David Harbater — 1991

Mathematische Annalen

The local lifting problem for actions of finite groups on curves

Ted Chinburg; Robert Guralnick; David Harbater — 2011

Annales scientifiques de l'École Normale Supérieure

Let $k$ be an algebraically closed field of characteristic $p > 0$ . We study obstructions to lifting to characteristic $0$ the faithful continuous action $φ$ of a finite group $G$ on $k [[t]]$ . To each such $φ$ a theorem of Katz and Gabber associates an action of $G$ on a smooth projective curve $Y$ over $k$ . We say that the KGB obstruction of $φ$ vanishes if $G$ acts on a smooth projective curve $X$ in characteristic $0$ in such a way that $X / H$ and $Y / H$ have the same genus for all subgroups $H \subset G$ . We determine for which $G$ the KGB obstruction...

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