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This is a joint work with Thomas Brustle. We study the cluster category C(S,M) of a marked surface (S,M). We explicitly describe the indecomposable objects in C(S,M) as homotopy classes of curves in (...
We give a proof of Manin's conjecture for a quartic del Pezzo surface split over Q and having a singularity of type A_3 and containing exactly four lines.
The automatic co-registration of point clouds, representing 3D surfaces, is a relevant problem in 3D modeling. This registration problem can be defined as a surface matching problem. We treat it as l...
We prove a perturbative inversion theorem for the map between the interacting and the noninteracting Fermi surface for a class of many fermion systems with strictly convex Fermi surfaces and short-ran...

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