14 citations · 22 across the 7 of their papers we have counts for
7 papers
Explicit Homology Representation for Finite Groups Acting on Riemann Surfaces
S. Allen Broughton, Linden Disney-Hogg
Given a finite group acting orientably on a surface of genus , the group acts faithfully on the homology group , preserving the symplectic…
On automorphisms of algebraic curves
A. Broughton, T. Shaska, A. Wootton
An irreducible, algebraic curve of genus defined over an algebraically closed field of characteristic $\mbox{char } \, k = p \geq 0$, has finite automo…
Semistable types of hyperelliptic curves
Tim Dokchitser, Vladimir Dokchitser, Celine Maistret +1
In this paper, we explore three combinatorial descriptions of semistable types of hyperelliptic curves over local fields: dual graphs, their quotient trees by the hyperelliptic inv…
Cyclic -gonal Surfaces
S. Allen Broughton, Aaron Wootton
A cyclic -gonal surface is a compact Riemann surface of genus admitting a cyclic group of conformal automorphisms of order such that the quotient space $X/…
Ellipses in translation surfaces
S. Allen Broughton, Chris Judge
We characterize subgroups of the mapping class group that stabilize a Teichmueller disk in terms of ellipses and strips that are immersed in the associated translation surface. In…
Topologically unique maximal elementary Abelian group actions on compact oriented surfaces
S. A. Broughton, A. Wootton
We determine all finite maximal elementary abelian group actions on compact oriented surfaces of genus which are unique up to topological equivalence. For certain special…