267 citations
- City University of New YorkUS26 papers
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- Donostia International Physics CenterES9 papers
- Kirtland Air Force BaseUS9 papers
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4 papers · 1 filter
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…
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 …