22 citations · 37 across the 6 of their papers we have counts for
4 papers · 1 filter
-adic Hurwitz numbers
Patrick Erik Bradley
We introduce stable tropical curves and use these to count covers of the -adic projective line of fixed degree and ramification types by Mumford curves in terms of tropical Hurw…
Cyclic coverings of the -adic projective line by Mumford curves
Patrick Erik Bradley
Exact bounds for the positions of the branch points for cyclic coverings of the -adic projective line by Mumford curves are calculated in two ways. Firstly, by using Fumiharu Ka…
Construction of p-adic Hurwitz spaces
Patrick Erik Bradley
Moduli spaces for Galois covers of p-adic Mumford curves by Mumford curves are constructed using Herrlich's Teichmuller spaces, Andre's orbifold fundamental groups, and Kato's grap…
On Mumford Orbifolds
Patrick Erik Bradley
Formulae for the number of branch points of one-dimensional orbifolds defined over a non-archimedean local field and uniformisable by discrete projective linear groups are given. T…