6 citations · 18 across the 19 of their papers we have counts for
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Degenerate Schubert Varieties in Type A
Rocco Chirivi', Xin Fang, Ghislain Fourier
We introduce rectangular elements in the symmetric group. In the framework of PBW degenerations, we show that in type A the degenerate Schubert variety associated to a rectangular…
Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases
Paolo Bravi, Rocco Chirivì, Jacopo Gandini
Given a classical semisimple complex algebraic group G and a symmetric pair (G, K) of non-Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy…
Pl\:ucker relations and spherical varieties: application to model varieties
Rocco Chirivi', Andrea Maffei
A general framework for the reduction of the equations defining classes of spherical varieties to (maybe infinite dimensional) grassmannians is proposed. This is applied to model v…
Pfaffians and Shuffling Relations for the Spin Module
Rocco Chirivì, Andrea Maffei
We present explicit formulas for a set of generators of the ideal of relations among the pfaffians of the principal minors of the antisymmetric matrices of fixed dimension. These f…
Equations defining symmetric varieties and affine Grassmannians
Rocco Chiriví, Peter Littelmann, Andrea Maffei
Let be a simple involution of an algebraic semisimple group and let be the subgroup of of points fixed by . If the restricted root system is of type , or…