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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.GT2012
On isolated strata of p-gonal Riemann surfaces in the branch locus of moduli spaces
Gabriel Bartolini, Antonio Costa, Milagros Izquierdo
The moduli space of compact Riemann surfaces of genus has orbifold structure, and the set of singular points of such orbifold is the \textit{branch locus} $\m…