7 citations · 20 across the 8 of their papers we have counts for
10 papers
Multiplicity free U(2)-actions and triangles
Oliver Goertsches, Bart Van Steirteghem, Nikolas Wardenski
We classify the compact, connected multiplicity free Hamiltonian U(2)-manifolds with trivial principal isotropy group whose momentum polytope is a triangle.
Quasi-Hamiltonian model spaces
Kay Paulus, Bart Van Steirteghem
Let K be a simple and simply connected compact Lie group. We call a (twisted) quasi-Hamiltonian K-manifold M a quasi-Hamiltonian model space if it is multiplicity free and its mome…
Momentum polytopes of projective spherical varieties and related Kähler geometry
Stéphanie Cupit-Foutou, Guido Pezzini, Bart Van Steirteghem
We apply the combinatorial theory of spherical varieties to characterize the momentum polytopes of polarized projective spherical varieties. This enables us to derive a classificat…
On some families of smooth affine spherical varieties of full rank
Kay Paulus, Guido Pezzini, Bart Van Steirteghem
Let G be a complex connected reductive group. I. Losev has shown that a smooth affine spherical G-variety X is uniquely determined by its weight monoid, which is the set of irreduc…
Combinatorial characterization of the weight monoids of smooth affine spherical varieties
Guido Pezzini, Bart Van Steirteghem
Let G be a connected complex reductive group. A well known theorem of I. Losev's says that a smooth affine spherical G-variety X is uniquely determined by its weight monoid, which…
Equivariant degenerations of spherical modules: part II
Stavros Argyrios Papadakis, Bart Van Steirteghem
We determine, under a certain assumption, the Alexeev-Brion moduli scheme M_S of affine spherical G-varieties with a prescribed weight monoid S. In [ arXiv:1008.0911 ] we showed th…