On a Conjecture of Magnus on the Hurwitz Monodromy Group.
On a Purely ?Riemannian" Proof of the Structure and Dimension of the Unramified Moduli Space of a Compact Riemann Surface.
On algebraic curves (of low genus) defined by Kleinian groups
On Automorphisms of Prime Order of a Riemann Surface as Matrices.
On boundary cluster sets.
On compact Riemann surfaces with a maximal number of automorphisms.
On conjugacy of p-gonal automorphisms of Riemann surfaces.
On deformations of monomial curves
On Extreme Bloch Functions with Prescribed Critical Points.
On fixed points of automorphisms of non-orientable unbordered Klein surfaces.
On monodromy map.
On ovals on Riemann surfaces.
We prove that k (k ≥ 9) non-conjugate symmetries of a Riemann surface of genus g have at most 2g - 2 + 2r - 3(9 - k) ovals in total, where r is the smallest positive integer for which k ≤ 2r - 1. Furthermore we prove that for arbitrary k ≥ 9 this bound is sharp for infinitely many values of g.
On -hyperelliptic involutions of Riemann surfaces.
On p-hyperellipticity of doubly symmetric Riemann surfaces.
Studying commuting symmetries of p-hyperelliptic Riemann surfaces, Bujalance and Costa found in [3] upper bounds for the degree of hyperellipticity of the product of commuting (M - q)- and (M - q')-symmetries, depending on their separabilities. Here, we find necessary and sufficient conditions for an integer p to be the degree of hyperellipticity of the product of two such symmetries, taking into account their separabilities. We also give some results concerning the existence and uniqueness of symmetries...
On pq-hyperelliptic Riemann surfaces
A compact Riemann surface X of genus g > 1 is said to be p-hyperelliptic if X admits a conformal involution ϱ, called a p-hyperelliptic involution, for which X/ϱ is an orbifold of genus p. If in addition X admits a q-hypereliptic involution then we say that X is pq-hyperelliptic. We give a necessary and sufficient condition on p,q and g for existence of a pq-hyperelliptic Riemann surface of genus g. Moreover we give some conditions under which p- and q-hyperelliptic involutions of a pq-hyperelliptic...
On Schottky groups with automorphisms.
On soluble groups of automorphisms of nonorientable Klein surfaces
We classify up to topological type nonorientable bordered Klein surfaces with maximal symmetry and soluble automorphism group provided its solubility degree does not exceed 4. Using this classification we show that a soluble group of automorphisms of a nonorientable Riemann surface of algebraic genus q ≥ 2 has at most 24(q-1) elements and that this bound is sharp for infinitely many values of q.
On Spaces of Kleinian Groups
On supersoluble groups acting on Klein surfaces.
On the analytic solution of the equation of fifth degree