Application de la théorie des fonctions fuchsiennes à l'étude des courbes algébriques
Application of Hoare's theorem to symmetries of Riemann surfaces.
Associated Curves and Plücker Formulas in Grassmannians.
Automorphism groups of compact Klein surfaces with one boundary component.
Automorphism groups of Schottky type.
Automorphisms of Riemann surfaces with two fixed points
We give an upper bound for the order of an automorphism of a Riemann surface with two fixed points. The main results are presented in Theorems 1.4 and 2.4.
Bemerkung zu der Abhandlung On the theory of Riemann's Integrals" by H. F. Baker. Bd. 45, der Mathem. Annalen
Beweis eines Riemannschen Satzes.
Blaschke product generated covering surfaces
It is known that, under very general conditions, Blaschke products generate branched covering surfaces of the Riemann sphere. We are presenting here a method of finding fundamental domains of such coverings and we are studying the corresponding groups of covering transformations.
Bloch Constants for Meromorphic Functions.
Branched ...-structures on surfaces with prescribed real holonomy.
Characteres and Galois invariants of regular dessins.
We describe a new invariant for the action of the absolute Galois groups on the set of Grothendieck dessins. It uses the fact that the automorphism groups of regular dessins are isomorphic to automorphism groups of the corresponding Riemman surfaces and define linear represenatations of the space of holomorphic differentials. The characters of these representations give more precise information about the action of the Galois group than all previously known invariants, as it is shown by a series...
Characterizing the Delaunay decompositions of compact hyperbolic surfaces.
Chern forms and the Riemann tensor for the moduli space ofcurves.
Complex algebraic curves with real moduli.
Compositions of maps and hypermaps. (Compositions des cartes et hypercartes.)
Conformal actions with prescribed periods on Riemann surfaces
It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions for the...
Correction to the paper: Simultaneous uniformisation.
Counting walks in a quadrant: a unified approach via boundary value problems
The aim of this article is to introduce a unified method to obtain explicit integral representations of the trivariate generating function counting the walks with small steps which are confined to a quarter plane. For many models, this yields for the first time an explicit expression of the counting generating function. Moreover, the nature of the integrand of the integral formulations is shown to be directly dependent on the finiteness of a naturally attached group of birational transformations...
Covering spaces of families of compact Riemann surfaces.