On the connectedness of the locus of real Riemann surfaces.
On the Density of Strebel Differentials.
On the existence of Weierstrass points whose first non-gaps are five.
On the family of cyclic trigonal Riemann surfaces of genus 4 with several trigonal morphisms.
A closed Riemann surface which is a 3-sheeted regular covering of the Riemann sphere is called cyclic trigonal, and such a covering is called a cyclic trigonal morphism. Accola showed that if the genus is greater or equal than 5 the trigonal morphism is unique. Costa-Izquierdo-Ying found a family of cyclic trigonal Riemann surfaces of genus 4 with two trigonal morphisms. In this work we show that this family is the Riemann sphere without three points. We also prove that the Hurwitz space of pairs...
On the Hyperbolicity of Certain Planar Domains.
On the ideal triangulation graph of a punctured surface
We study the ideal triangulation graph of an oriented punctured surface of finite type. We show that if is not the sphere with at most three punctures or the torus with one puncture, then the natural map from the extended mapping class group of into the simplicial automorphism group of is an isomorphism. We also show that the graph of such a surface , equipped with its natural simplicial metric is not Gromov hyperbolic. We also show that if the triangulation graph of two oriented punctured...
On the inner parts of certain analytic functions
On the Kähler form of the moduli space of once punctured tori.
On the number of coincidences of morphisms between closed Riemann surfaces.
We give a bound for the number of coincidence of two morphisms between given compact Riemann surfaces (complete complex algebraic curves). Our results generalize well known facts about the number of fixed points of an automorphism.
On the number of ovals of a symmetry of a compact Riemann surfaces.
On the period classes of Prym differentials. I.
On the theorem of de Franchis
On the theory of Riemann's Integrals
On two recent geometrical characterizations of hyperellipticity.
We obtain short and unified new proofs of two recent characterizations of hyperellipticity given by Maskit (2000) and Schaller (2000), as well as a way of establishing a relation between them.
On uniqueness of automorphisms groups of Riemann surfaces.
On Weierstrass points whose first non-gaps are four.
On Weierstraß points whose first non-gaps are three.