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arXiv · 0806.0836

$p$-adic Hurwitz numbers

Patrick Erik Bradley
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Abstract

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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Patrick Erik Bradley. 2008-06-04. $p$-adic Hurwitz numbers. https://arxiv.org/abs/0806.0836

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