Persona: Porto Ferreira da Silva, Ana María
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0000-0001-7005-7908
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Porto Ferreira da Silva
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Ana María
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Publicación On the connectedness of the branch locus of moduli space of hyperelliptic Klein surfaces with one boundary(2015-01-01) Izquierdo, Milagros; Costa González, Antonio Félix; Porto Ferreira da Silva, Ana MaríaAbstract. In this work we prove that the hyperelliptic branch locus of ori- entable Klein surfaces of genus g with one boundary component is connected and in the case of non-orientable Klein surfaces it has g+1 2 components, if g is odd, and g+2 2 components for even g. We notice that, for non-orientable Klein surfaces with two boundary components, the hyperelliptic branch loci are connected for all genera.Publicación Note on topologically singular points in themoduli space of Riemann surfaces of genus 2(Springer, 2019-06-20) Costa González, Antonio Félix; Porto Ferreira da Silva, Ana MaríaLet Mg be the moduli space of Riemann surfaces of genus g. Rauch (Bull Am Math Soc 68:390–394, 1962) focused his attention on and determined the so-called topological singular points ofMg: these are the points ofMg whose neighbourhoods are not homeomorphic to a ball. In a previous paper, the authors produced a topological proof for Rauch’s result for genera > 2; however, the methods used there do not apply to the genus 2 case. The only known proof for the remaining and important case, i.e., the case of singular points inM2, is to be found in an article by Igusa (Ann Math 72(3):612–649, 1960) and it lays on methods from algebraic geometry. Here, we present a topological proof for this case too.