The Galois-module structure of the space of holomorphic differentials of a curve.
The Galois-module structure of the space of holomorphic differentials of a curve.
复制标题
曲线全纯微分空间的伽罗瓦模结构。
DOI：
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发表时间：
1986
期刊：
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通讯作者：
E. Kani
中科院分区：
文献类型：
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作者：
E. Kani
如果p|事实上，Valentini [20]证明了如果nG：X - > n = X/G是非分歧的，则Chevalley-Weil定理的（类似）成立当且仅当G是p-幂零的，并且G的p-Sylow子群Gp是循环的。(This推广和锐化了Tamagawa [19]的早期结果。通过Valentini和Madan的工作，Ωχ的结构在以下两种情况下是“已知的”：
If p | n, then the structure of Ωχ is in general more complicated; in fact, Valentini [20] showed that if nG : X — > Υ = X/G is unramified, then the (analogue of the) Chevalley-Weil theorem holds if and only if G is p-nilpotent) and the p-Sylow subgroups Gp of G are cyclic. (This generalized and sharpened an earlier result of Tamagawa [19].) By the work of Valentini and Madan, the structure of Ωχ is "known" in the following two cases):