Period matrices of Accola-MacLachlan and Kulkarni surfaces.
Periodic automorphisms of surfaces: Invariant circles and maximal orders.
Polyhedral Realization of a Thurston Compactification
Let be the connected sum of three real projective planes. We realize the Thurston compactification of the Teichmüller space as a simplex in .
Random walks in with non-zero drift absorbed at the axes
Spatially homogeneous random walks in with non-zero jump probabilities at distance at most , with non-zero drift in the interior of the quadrant and absorbed when reaching the axes are studied. Absorption probabilities generating functions are obtained and the asymptotic of absorption probabilities along the axes is made explicit. The asymptotic of the Green functions is computed along all different infinite paths of states, in particular along those approaching the axes.
Randschlichte meromorphe Funktionen auf endlichen Riemannschen Flächen.
Real projective structures on Riemann surfaces
Real Schottky uniformizations and Jacobians of May surfaces.
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...
Realisierung von Gruppen PSL2 (IFp) als Galoisgruppen über Q.
Reflections of regular maps and Riemann surfaces.
Regular analytic arcs and curves
Remarks on Clifford indices.
Riemann and Klein surfaces with nodes viewed as quotients.
If G is a group of automorphisms that acts properly discontinuously on a Riemann or Klein surface X, then there exists a unique structure of Riemann or Klein surface on X/G such that the projection π: X → X/G is a morphism. The analogous result is not true when we deal with surfaces with nodes. In this paper we give a new definition of a group that acts properly discontinuously on a surface with nodes in order to obtain a similar theorem.
Riemannsche Flächen mit Eigenwerten in (0, ...).
Riemannsche Flächen mit grosser Kragenweite.
Schottky uniformizations of Z22 actions on Riemann surfaces.
Given a closed Riemann surface S together a group of its conformal automorphisms H ≅ Z22, it is known that there are Schottky uniformizations of S realizing H. In this note we proceed to give an explicit Schottky uniformizations for each of all different topological actions of Z22 as group of conformal automorphisms on a closed Riemann surface.
Simultaneous uniformisation.
Some Curves in Abelian Varieties.
Some loci in Teichmüller space for genus seven defined by vanishing thetanulls.
Spectral curves and the generalised theta divisor.
Stable Principal Bundles on a Compact Riemann Surface.