9 citations · 28 across the 15 of their papers we have counts for
12 papers · 1 filter
The Knop-Luna-Vust theory of spherical embeddings, extended to non-reductive groups
Guido Pezzini
We extend the theory of spherical embeddings to actions of connected non-reductive groups. This generalization is formally very similar to the usual reductive case: equivariant emb…
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…
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 global Okounkov bodies of spherical varieties
Guido Pezzini, Henrik Seppänen
We define and study the global Okounkov moment cone of a projective spherical variety X, generalizing both the global Okounkov body and the moment body of X defined by Kaveh and Kh…
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…
Orbits of strongly solvable spherical subgroups on the flag variety
Jacopo Gandini, Guido Pezzini
Let G be a connected reductive complex algebraic group and B a Borel subgroup of G. We consider a subgroup H of B acting with finitely many orbits on the flag variety G/B, and we c…
On the W-action on B-sheets in positive characteristic
Friedrich Knop, Guido Pezzini
Let G be a connected reductive group defined over an algebraically closed ground field of characteristic p, let B be a Borel subgroup of G, and let X be a G-variety. The first name…
On reductive automorphism groups of regular embeddings
Guido Pezzini
Let G be a connected reductive complex algebraic group acting on a smooth complete complex algebraic variety X. We assume that X under the action of G is a regular embedding, a con…
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…
Wonderful varieties of type B and C
P. Bravi, G. Pezzini
We show that the proof of Luna's conjecture about the classification of general wonderful G-varieties can be reduced to the analysis of finitely many families of primitive cases. W…