13 citations · 29 across the 9 of their papers we have counts for
11 papers
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…
On families of Riemann surfaces with automorphisms
Milagros Izquierdo, Sebastián Reyes-Carocca, Anita M. Rojas
In this article we determine the maximal possible order of the automorphism group of the form , where and are integers, of a complex three and four-dimensional fami…
Groups of automorphisms of Riemann surfaces and maps of genus where is prime
Milagros Izquierdo, Gareth A. Jones, Sebastián Reyes-Carocca
We classify compact Riemann surfaces of genus , where is a prime , which have a group of automorphisms of order for some integer , and determine isogen…
A note on large automorphism groups of compact Riemann surfaces
Milagros Izquierdo, Sebastián Reyes-Carocca
Belolipetsky and Jones classified those compact Riemann surfaces of genus admitting a large group of automorphisms of order , for each under the assumption that…
Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification
M. Izquierdo, L. Jiménez, A. Rojas
Given a compact Riemann surface with an action of a finite group , the group algebra Q[G] provides an isogenous decomposition of its Jacobian variety , known as the grou…
On Riemann Surfaces of genus g with 4g automorphisms
E. Bujalance, A. F. Costa, M. Izquierdo
We determine, for all genus the Riemann surfaces of genus with automorphisms. For or , this surfaces form a real Riemann surface $\mathcal…
Isometric point-circle configurations on surfaces from uniform maps
Milagros Izquierdo, Klara Stokes
We embed neighborhood geometries of graphs on surfaces as point-circle configurations. We give examples coming from regular maps on surfaces with maximum number of automorphisms fo…
Cyclic curves over the reals
Milagros Izquierdo, Tony Shaska
In this paper we study the automorphism groups of real curves admitting a regular meromorphic function of degree , so called real cyclic -gonal curves. When the aut…
Connecting -gonal loci in the compactification of moduli space
Antonio F. Costa, Milagros Izquierdo, Hugo Parlier
Consider the moduli space of Riemann surfaces of genus and its Deligne-Munford compactification . We are interested in the branch…
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…
On the fixed-point set of automorphisms of non-orientable surfaces without boundary
M. Izquierdo, D. Singerman
Macbeath gave a formula for the number of fixed points for each non-identity element of a cyclic group of automorphisms of a compact Riemann surface in terms of the universal cover…