10 citations · 47 across the 14 of their papers we have counts for
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Nilpotent orbits of height 2 and involutions in the affine Weyl group
Jacopo Gandini, Pierluigi Moseneder Frajria, Paolo Papi
Let G be an almost simple group over an algebraically closed field k of characteristic zero, let g be its Lie algebra and let B be a Borel subgroup of G. Then B acts with finitely…
The Bruhat order on abelian ideals of Borel subalgebras
Jacopo Gandini, Andrea Maffei, Pierluigi Moseneder Frajria +1
Let G be a quasi simple algebraic group over an algebraically closed field k whose characteristic is not very bad for G, and let B be a Borel subgroup of G with Lie algebra b. Give…
The Bruhat order on Hermitian symmetric varieties and on abelian nilradicals
Jacopo Gandini, Andrea Maffei
Let be a simple algebraic group and a parabolic subgroup of with abelian unipotent radical , and let be a Borel subgroup of contained in P. Let $\mathfrak{…
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…
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…
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…
Normality and smoothness of simple linear group compactifications
Jacopo Gandini, Alessandro Ruzzi
If G is a complex semisimple algebraic group, we characterize the normality and the smoothness of its simple linear compactifications, namely those equivariant GxG-compactification…
Simple linear compactifications of odd orthogonal groups
Jacopo Gandini
We classify the simple linear compactifications of SO(2r+1), namely those compactifications with a unique closed orbit which are obtained by taking the closure of the SO(2r+1)xSO(2…
Normality and non-normality of group compactifications in simple projective spaces
Paolo Bravi, Jacopo Gandini, Andrea Maffei +1
If is a complex simply connected semisimple algebraic group and if is a dominant weight, we consider the compactification in the projectivisation of $\End(V(λ))$ obta…
Spherical orbit closures in simple projective spaces and their normalizations
Jacopo Gandini
Let G be a simply connected semisimple algebraic group over an algebraically closed field k of characteristic 0 and let V be a rational simple G-module of finite dimension. If G/H…