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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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2015 - 20192
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Autor: Costa González, Antonio Félix × Tipo: journal article ×

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  • Miniatura
    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 María
    Abstract. 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.
  • Miniatura
    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 María
    Let 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.