9 citations · 28 across the 15 of their papers we have counts for
18 papers
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…
On the extended weight monoid and its applications to orthogonal polynomials
Guido Pezzini, Maarten van Pruijssen
Given a connected simply connected semisimple group G and a connected spherical subgroup K we determine the generators of the extended weight monoid of G/K, based on the homogeneou…
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…