The local lifting problem for A4
The local lifting problem for A4
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A4的局部提升问题
DOI：
10.2140/ant.2016.10.1683
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发表时间：
2016
影响因子：
1.3
通讯作者：
Andrew Obus
中科院分区：
文献类型：
--
作者：
Andrew Obus
我们求解了交替群A_4的局部提升问题，从而证明了它是一个局部奥尔特群。具体地说，如果k是特征为2的代数闭域，我们证明了k[[s]]的每一个a_4扩展都会提升到特征为0。因此，特征2的光滑投影曲线的每个a_4分支覆盖都提升到特征0。
We solve the local lifting problem for the alternating group A_4, thus showing that it is a local Oort group. Specifically, if k is an algebraically closed field of characteristic 2, we prove that every A_4-extension of k[[s]] lifts to characteristic zero. As a consequence, every A_4-branched cover of smooth projective curves in characteristic 2 lifts to characteristic zero.