The p-Rank of Ramified Covers of Curves
The p-Rank of Ramified Covers of Curves
复制标题
曲线分支覆盖的 p 秩
DOI：
10.1023/a:1017513122376
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发表时间：
2001
影响因子：
1.8
通讯作者：
I. Bouw
中科院分区：
文献类型：
--
作者：
I. Bouw
本文研究了亏格g的一般r-点曲线的Abel素数到p-覆盖的p-秩.覆盖的p-秩有一个明显的界.我们证明了它足以计算亏格为零的广义r-点曲线的循环素到p覆盖的p-秩.在这种情况下，我们证明了对于大的p，覆盖的p-秩等于上界。
In this paper we study the p-rank of Abelian prime-to-p covers of the generic r-pointed curve of genus g. There is an obvious bound on the p-rank of the cover. We show that it suffices to compute the p-rank of cyclic prime-to-p covers of the generic r-pointed curve of genus zero. In that situation, we show that, for large p, the p-rank of the cover is equal to the bound.