9 citations · 21 across the 18 of their papers we have counts for
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math.AG2017★ 4 cited
Tropicalizing tame degree three coverings of the projective line
Paul Alexander Helminck
In this paper, we study the problem of tropicalizing tame degree three coverings of the projective line. Given any degree three covering , we give…
math.AG2017
Tropical superelliptic curves
Madeline Brandt, Paul Alexander Helminck
We present an algorithm for computing the Berkovich skeleton of a superelliptic curve over a valued field. After defining superelliptic weighted metric graphs, we show t…
math.AG2017★ 9 cited
Tropicalizing abelian covers of algebraic curves
Paul Alexander Helminck
In this thesis, we study the Berkovich skeleton of an algebraic curve over a discretely valued field . We do this using coverings of the projectiv…