Displaying similar documents to “Genus 3 normal coverings of the Riemann sphere branched over 4 points.”

Real Schottky uniformizations and Jacobians of May surfaces.

Rubén A. Hidalgo, Rubí E. Rodríguez (2004)

Revista Matemática Iberoamericana

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Given a closed Riemann surface R of genus p ≥ 2 together with an anticonformal involution τ : R ---> R with fixed points, we consider the group K(R, τ) consisting of the conformal and anticonformal automorphisms of R which commute with τ...

Maximal real Schottky groups.

Rubén A. Hidalgo (2004)

Revista Matemática Iberoamericana

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Let S be a real closed Riemann surfaces together a reflection τ : S ---> S, that is, an anticonformal involution with fixed points. A well known fact due to C. L. May asserts that the group K(S, τ), consisting on all automorphisms ...

On a subvariety of the moduli space.

Francisco Javier Cirre (2004)

Revista Matemática Iberoamericana

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We give an explicit description of a non-normal irreducible subvariety of the moduli space of Riemann surfaces of genus 3 characterized by a non-cyclic group action. Defining equations of a family of curves representing non-normal points of this subvariety are computed. We also find defining equations of the family of hyperelliptic curves of genus 3 whose full automorphism group is C2 X C4. This completes the list of full automorphism groups of hyperelliptic curves.

Existence of H-bubbles in a perturbative setting.

Paolo Caldiroli, Roberta Musina (2004)

Revista Matemática Iberoamericana

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Given a C1 function H: R3 --> R, we look for H-bubbles, i.e., surfaces in R3 parametrized by the sphere S2 with mean curvature H at every regular point..

A note on the existence of H-bubbles via perturbation methods.

Verónica Felli (2005)

Revista Matemática Iberoamericana

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We study the problem of existence of surfaces in R3 parametrized on the sphere S2 with prescribed mean curvature H in the perturbative case, i.e. for H = Ho + EH1, where Ho is a nonzero constant, H1 is a C2 function and E is a small perturbation parameter.