7 citations · 20 across the 8 of their papers we have counts for
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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…
The moduli scheme of affine spherical varieties with a free weight monoid
Paolo Bravi, Bart Van Steirteghem
We study Alexeev and Brion's moduli scheme of affine spherical varieties with weight monoid under the assumption that is free. We describe the tangent space to …
Equivariant degenerations of spherical modules for groups of type A
Stavros Argyrios Papadakis, Bart Van Steirteghem
Let G be a complex reductive algebraic group. Fix a Borel subgroup B of G, with unipotent radical U, and a maximal torus T in B with character group X(T). Let S be a submonoid of X…