3 papers
math.DG2024
Solution of the Björling problem by discrete approximation
Ulrike Bücking, Daniel Matthes
The Björling problem amounts to the construction of a minimal surface from a real-analytic curve with a given real-analytic normal vector field. We approximate that solution locall…
math.CO2023
LDP polygons and the number 12 revisited
Ulrike Bücking, Christian Haase, Karin Schaller +1
We give a combinatorial proof of a lattice point identity involving a lattice polygon and its dual, generalizing the formula for reflexive . The identi…
math.CV2018
Convergence of discrete period matrices and discrete holomorphic integrals for ramified coverings of the Riemann sphere
Alexander I. Bobenko, Ulrike Bücking
We consider the class of compact Riemann surfaces which are ramified coverings of the Riemann sphere . Based on a triangulation of this covering of the sphere $\m…