11 citations · 57 across the 18 of their papers we have counts for
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The generalized Mukai conjecture for spherical varieties with a reductive general isotropy group
Paolo Bravi, Guido Pezzini
In the case of spherical varieties with reductive general isotropy group we prove a conjecture of G. Gagliardi and J. Hofscheier, which implies the generalized Mukai conjecture of…
Standard monomial theory for wonderful varieties
Paolo Bravi, Rocco Chirivì, Jacopo Gandini +1
A general setting for a standard monomial theory on a multiset is introduced and applied to the Cox ring of a wonderful variety. This gives a degeneration result of the Cox ring to…
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 …
Projective normality of model varieties and related results
Paolo Bravi, Jacopo Gandini, Andrea Maffei
We prove that the multiplication of sections of globally generated line bundles on a model wonderful variety M of simply connected type is always surjective. This follows by a gene…
Primitive wonderful varieties
Paolo Bravi, Guido Pezzini
We complete the classification of wonderful varieties initiated by D. Luna. We review the results that reduce the problem to the family of primitive varieties, and report the refer…
Wonderful subgroups of reductive groups and spherical systems
Paolo Bravi, Guido Pezzini
Let G be a semisimple complex algebraic group, and H a wonderful subgroup of G. We prove several results relating the subgroup H to the properties of a combinatorial invariant S of…