We classify all smooth projective horospherical varieties with Picard number 1. We prove
that the automorphism group of any such variety X acts with at most two orbits and that this …

We study the geometry of smooth non-homogeneous horospherical varieties of Picard rank
one. These have been classified by Pasquier and include the well-known odd symplectic …

A theorem of Ryan and Wolper states that a type A Schubert variety is smooth if and only if it
is an iterated fibre bundle of Grassmannians. We extend this theorem to arbitrary finite type …

We study the equivariant real structures on complex horospherical varieties, generalizing
classical results known for toric varieties and flag varieties. We obtain a necessary and …

For a G-variety X with an open orbit, we define its boundary∂ X as the complement of the
open orbit. The action sheaf SX is the subsheaf of the tangent sheaf made of vector fields …

Odd symplectic Grassmannians are a generalization of symplectic Grassmannians to odd-
dimensional spaces. Here we compute the classical and quantum cohomology of the odd …

Property O, introduced by Galkin et al. for arbitrary complex, Fano manifolds X, is a
statement about the eigenvalues of the linear operator obtained by the quantum …

We show that if the variety of minimal rational tangents (VMRT) of a uniruled projective
manifold at a general point is projectively equivalent to that of a symplectic or an odd …

We prove that the only rational homogeneous varieties with Picard number 1 of the
exceptional algebraic groups admitting irreducible equivariant Ulrich vector bundles are the …

The odd symplectic Grassmannian IG:= IG (k, 2n+ 1) IG:= IG (k, 2 n+ 1) parametrizes k
dimensional subspaces of C^ 2n+ 1 C 2 n+ 1 which are isotropic with respect to a general …