摘要翻译:
用两种方法计算了Mumford曲线的$p$-adic射影线的循环覆盖的分支点位置的精确界。首先利用Fumiharu Kato的*-树,然后利用组合群论给出射影线上Mumford曲线对应的Schottky群的显式矩阵表示。
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英文标题:
《Cyclic coverings of the $p$-adic projective line by Mumford curves》
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作者:
Patrick Erik Bradley
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最新提交年份:
2007
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分类信息:
一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
Exact bounds for the positions of the branch points for cyclic coverings of the $p$-adic projective line by Mumford curves are calculated in two ways. Firstly, by using Fumiharu Kato's *-trees, and secondly by giving explicit matrix representations of the Schottky groups corresponding to the Mumford curves above the projective line through combinatorial group theory.
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PDF链接:
https://arxiv.org/pdf/0707.2467