The local lifting problem for A4
Abstract
We solve the local lifting problem for the alternating group A4, thus showing that it is a local Oort group. Specifically, if k is an algebraically closed field of characteristic 2, we prove that every A4-extension of k[[s]] lifts to characteristic zero. As a consequence, every A4-branched cover of smooth projective curves in characteristic 2 lifts to characteristic zero.
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