13 citations · 33 across the 5 of their papers we have counts for
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Algebraic Conditions for Conformal Superintegrability in Arbitrary Dimension
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
We show that the definition of a second order superintegrable system on a (pseudo-)Riemannian manifold gives rise to a conformally invariant notion of superintegrability. Conformal…
An Algebraic Geometric Foundation for a Classification of Superintegrable Systems in Arbitrary Dimension
Jonathan Kress, Konrad Schöbel, Andreas Vollmer
Second-order superintegrable systems in dimensions two and three are essentially classified. With increasing dimension, however, the non-linear partial differential equations emplo…
An algebraic geometric classification of superintegrable systems in the Euclidean plane
Jonathan Kress, Konrad Schöbel
We prove that the set of non-degenerate second order maximally superintegrable systems in the complex Euclidean plane carries a natural structure of a projective variety, equipped…
Separation coordinates, moduli spaces and Stasheff polytopes
Konrad Schöbel, Alexander P. Veselov
We show that the orthogonal separation coordinates on the sphere are naturally parametrised by the real version of the Deligne-Mumford-Knudsen moduli space $\bar M_{0,n+2}(R)…
Moduli Spaces of PU(2)-Instantons on Minimal Class VII Surfaces with b_2=1
Konrad Schöbel
We describe explicitly the moduli spaces of polystable holomorphic structures with on a rank 2 vector bundle with and $c_2(…