On lifting the hyperelliptic involution
On lifting the hyperelliptic involution
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关于提升超椭圆对合
DOI：
10.1090/s0002-9939-1994-1197530-1
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发表时间：
1994
期刊：
影响因子：
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通讯作者：
R. D. Accola
中科院分区：
文献类型：
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作者：
R. D. Accola
设Wp表示p属的紧致黎曼曲面。(1)设Wq为超椭圆，n为正整数。那么存在一个n片的非分枝覆盖，Wp -_ Wq，其中Wp是超椭圆的。(2)设W2n+ 1w2是一个以二面体群为伽罗瓦群的非分支伽罗瓦覆盖，设n为奇数。则W2n+1是椭圆超椭圆（双椭圆）。(3)设W4 -+ W2为三层非伽罗瓦复盖。那么W4是超椭圆的。
Let Wp stand for a compact Riemann surface of genus p . (1) Let Wq be hyperelliptic, and let n be a positive integer. Then there exists an unramified covering of n sheets, Wp -_ Wq, where Wp is hyperelliptic. (2) Let W2n+ 1 W2 be an unramified Galois covering with a dihedral group as Galois group, and let n be odd. Then W2n+1 is elliptic hyperelliptic (bi-elliptic). (3) Let W4 -+ W2 be an unramified non-Galois covering of three sheets. Then W4 is hyperelliptic.