摘要翻译:
我们引入了稳定的热带曲线,并利用这些曲线用热带Hurwitz数计算了Mumford曲线的固定度和分支类型的$p$-adic射影线的覆盖。我们的计数取决于封面的分支轨迹。
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英文标题:
《$p$-adic Hurwitz numbers》
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作者:
Patrick Erik Bradley
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最新提交年份:
2008
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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:
We introduce stable tropical curves and use these to count covers of the $p$-adic projective line of fixed degree and ramification types by Mumford curves in terms of tropical Hurwitz numbers. Our counts depend on the branch loci of the covers.
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PDF链接:
https://arxiv.org/pdf/0806.0836