Die Zerlegungscharaktere abelscher total reeller Erweiterungen reeller Funktionenkörper einer Variablen.
Differential equations which come from geometry
Differential Geometry of Complex Projective Space Curves.
Differential operators and rank bundles over elliptic curves
Dimension of families of space curves
Dimensions of Prym varieties.
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...
Dirichlet and Neumann problems for string equation, Poncelet problem and Pell-Abel equation.
Diskontinuierliche arithmetische Gruppen im Funktionenkörperfall.
Distinguishing Prymians from Jacobians.
Distribution of Mordell-Weil ranks of families of elliptic curves
We discuss the distribution of Mordell-Weil ranks of the family of elliptic curves y² = (x + αf²)(x + βbg²)(x + γh²) where f,g,h are coprime polynomials that parametrize the projective smooth conic a² + b² = c² and α,β,γ are elements from ℚ̅. In our previous papers we discussed certain special cases of this problem and in this article we complete the picture by proving the general results.
Distributions de Frobénius
Division algebras that ramify only along a singular plane cubic curve.
Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
Divisor classes on Shimura curves rational over local fields.
Divisors on general curves and cuspidal rational curves.
Divisors on Mg,g+1 and the minimal resolution conjecture for points on canonical curves
Divisors on real curves.
Doppeltangenten einer Curve nter Ordnung
Dual graphs of degenerating curves.