On deformations of monomial curves
On Dimension Theorems of the Varieties of Special Divisors on a Curve.
On Dirichlet series and Hecke triangle groups of infinite volume
On Extreme Bloch Functions with Prescribed Critical Points.
On families of counting functions of number fields and hyperbolic manifolds of dimensions two and three
On first order elliptic equations for sections of complex line bundles
On fixed points of automorphisms of non-orientable unbordered Klein surfaces.
On generalized groups.
On geometric convergence of discrete groups
One of the basic questions in the Kleinian group theory is to understand both algebraic and geometric limiting behavior of sequences of discrete subgroups. In this paper we consider the geometric convergence in the setting of the isometric group of the real or complex hyperbolic space. It is known that if is a non-elementary finitely generated group and a sequence of discrete and faithful representations, then the geometric limit of is a discrete subgroup of . We generalize this result by...
On groups and normal polymorphic functions.
On harmonic quasiconformal quasi-isometries.
On isomorphisms of Bers fiber spaces.
On isomorphisms of geometrically finite Möbius groups
On Klein Surfaces and Dihedral Groups.
On lacunary analogs of the Poincaré theta-series and their applications.
On limit sets of geometrically finite Kleinian groups.
On Limits of Quasi-Conformal Deformations of Kleinian Groups.
On locally biholomorphic mappings from multi-connected onto simply connected domains
We continue E. Ligocka's investigations concerning the existence of m-valent locally biholomorphic mappings from multi-connected onto simply connected domains. We decrease the constant m, and also give the minimum of m in the case of mappings from a wide class of domains onto the complex plane ℂ.
On locally biholomorphic surjective mappings
We prove that each open Riemann surface can be locally biholomorphically (locally univalently) mapped onto the whole complex plane. We also study finite-to-one locally biholomorphic mappings onto the unit disc. Finally, we investigate surjective biholomorphic mappings from Cartesian products of domains.
On Macbeath-Singerman symmetries of Belyi surfaces with PSL(2,p) as a group of automorphisms
The famous theorem of Belyi states that the compact Riemann surface X can be defined over the number field if and only if X can be uniformized by a finite index subgroup Γ of a Fuchsian triangle group Λ. As a result such surfaces are now called Belyi surfaces. The groups PSL(2,q),q=p n are known to act as the groups of automorphisms on such surfaces. Certain aspects of such actions have been extensively studied in the literature. In this paper, we deal with symmetries. Singerman showed, using acertain...