7 papers
Discriminants of Theta-Representations
Vladimiro Benedetti, Laurent Manivel
Tevelev has given a remarkable explicit formula for the discriminant of a complex simple Lie algebra, which can be defined as the equation of the dual hypersurface of the minimal n…
On the automorphisms of hyperplane sections of generalized Grassmannians
Vladimiro Benedetti, Laurent Manivel
Given a smooth hyperplane section of a rational homogeneous space with Picard number one, we address the question whether it is always possible to lift an automorphism of…
The small quantum cohomology of the Cayley Grassmannian
Vladimiro Benedetti, Laurent Manivel
We compute the small cohomology ring of the Cayley Grassmannian, that parametrizes four-dimensional subalgebras of the complexified octonions. We show that all the Gromov-Witten in…
The geometry of the Coble cubic and orbital degeneracy loci
Vladimiro Benedetti, Laurent Manivel, Fabio Tanturri
The Coble cubics were discovered more than a century ago in connection with genus two Riemann surfaces and theta functions. They have attracted renewed interest ever since. Recentl…
Bisymplectic Grassmannians of planes
Vladimiro Benedetti
The bisymplectic Grassmannian IGr parametrizes k-dimensional subspaces of a vector space V which are isotropic with respect to two general skew-symmetric forms; it is a…
Orbital degeneracy loci II: Gorenstein orbits
Vladimiro Benedetti, Sara Filippini, Laurent Manivel +1
In [BFMT17] we introduced orbital degeneracy loci as generalizations of degeneracy loci of morphisms between vector bundles. Orbital degeneracy loci can be constructed from any sta…