Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. Teil I.
Die Rittersche Primform auf einer belibigen Riemannschen Fläche
Die Stetigkeit der automorphen Functionen bei stetiger Abänderung des Fundamentalbereichs
Die Stetigkeit der automorphen Functionen bei stetiger Abänderung des Fundamentalbereichs
Die Zerlegungscharaktere abelscher total reeller Erweiterungen reeller Funktionenkörper einer Variablen.
Differentiability and rigidity of Möbius groups.
Differentiability and rigidity theorems.
Differential operators and flat connections on a Riemann surface.
Differentials of the second kind for families of Mumford curves
Dimers and cluster integrable systems
We show that the dimer model on a bipartite graph on a torus gives rise to a quantum integrable system of special type, which we call acluster integrable system. The phase space of the classical system contains, as an open dense subset, the moduli space of line bundles with connections on the graph . The sum of Hamiltonians is essentially the partition function of the dimer model. We say that two such graphs and areequivalentif the Newton polygons of the corresponding partition functions...
Diophantine approximation on Veech surfaces
We show that Y. Cheung’s general -continued fractions can be adapted to give approximation by saddle connection vectors for any compact translation surface. That is, we show the finiteness of his Minkowski constant for any compact translation surface. Furthermore, we show that for a Veech surface in standard form, each component of any saddle connection vector dominates its conjugates in an appropriate sense. The saddle connection continued fractions then allow one to recognize certain transcendental...
Dirichlet points, Garnett points, and infinite ends of hyperbolic surfaces. I.
Discrete Dirac operators on Riemann surfaces and Kasteleyn matrices
Let be a flat surface of genus with cone type singularities. Given a bipartite graph isoradially embedded in , we define discrete analogs of the Dirac operators on . These discrete objects are then shown to converge to the continuous ones, in some appropriate sense. Finally, we obtain necessary and sufficient conditions on the pair for these discrete Dirac operators to be Kasteleyn matrices of the graph . As a consequence, if these conditions are met, the partition function of the dimer...
Discrete groups and thin sets.
Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall.
Diskrete Deformation Fuchsscher Gruppen und ihrer automorphen Formen.
Disques extrémaux et surfaces modulaire
Distortion of the exponent of convergence in space.
Distribution of resonances for convex co-compact hyperbolic surfaces
Distributions at infinity for Riemann surfaces