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Bujalance García, Emilio

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0000-0002-3407-8936
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Bujalance García
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Emilio
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2016 - 201912020 - 20231
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    Abelian Actions on Pseudo-real Riemann Surfaces
    (Springer, 2023-04-08) Bujalance García, Emilio; Cirre Torres, Francisco Javier; J. Rodríguez
    A compact Riemann surface is called pseudo-real if it admits orientation-reversing automorphisms but none of them has order two. In this paper, we find necessary and sufficient conditions for the existence of an action on a pseudo-real surface of genus g 2 of an abelian group containing orientation-reversing automorphisms. Several consequences are obtained, such as the solution of the minimum genus problem for such abelian actions.
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    On Riemann surfaces of genus g with 4g automorphisms
    (2016-04-01) Izquierdo Barrios, Milagros; Bujalance García, Emilio; Costa González, Antonio Félix
    We determine, for all genus g 2 the Riemann surfaces of genus g with exactly 4g automorphisms. For g 6= 3; 6; 12; 15 or 30, this sur- faces form a real Riemann surface Fg in the moduli space Mg: the Riemann sphere with three punctures. We obtain the automorphism groups and extended automorphism groups of the surfaces in the fam- ily. Furthermore we determine the topological types of the real forms of real Riemann surfaces in Fg. The set of real Riemann surfaces in Fg consists of three intervals its closure in the Deligne-Mumford com- pacti cation of Mg is a closed Jordan curve. We describe the nodal surfaces that are limits of real Riemann surfaces in Fg.