2 papers
math.GT2025
Modular companions in planar one-dimensional equisymmetric strata
S. Allen Broughton, Antonio F. Costa, Milagros Izquierdo
Consider, in the moduli space of Riemann surfaces of a fixed genus, the subset of surfaces with non-trivial automorphisms. Of special interest are the numerous subsets of surfaces…
math.GT2024
On the topological type of anticonformal square roots of automorphisms of even order of Riemann surfaces
Antonio F. Costa
Let be a (compact)\ Riemann surface of genus greater than one. Two automorphism of are topologically equivalent if they are conjugated by a homeomorphism. The topological c…