Add to ORKGAbstract. We prove that the product of an arbitrary projective homogeneous variety Y by an orthogonal, symplectic, or unitary Grassmannian X is 2-incompressible if and only if the varieties XF (Y) and YF (X) are so. Some new properties of incompressible Grassmannians are established on the way. 1
We construct a full exceptional collection of vector bundles in the derived categories of coherent s...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
15 pagesLet k be a field, and A a finite-dimensional k-algebra. Let d be an integer. Denote by Gr(d,...
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian f...
AbstractWe study projective homogeneous varieties under an action of a projective unitary group (of ...
AbstractFor a nondegenerate quadratic form φ on a vector space V of dimension 2n+1, let Xd be the va...
Abstract. We consider a central division algebra over a separable quadratic extension of a base fiel...
AbstractWe prove the following conjecture due to Bryant Mathews (2008). Let Qi be the orthogonal gra...
To Joe, with gratitude, in celebration of his sixtieth birthday Abstract. In this paper, we introduc...
Abstract. It is shown that the proof by Mehta and Parameswaran of Wahl’s conjecture for Grassmannian...
AbstractWe prove that the Grassmannian of totally isotropic k-spaces of the polar space associated t...
ABSTRACT. Let V be a unitary space of dimension n and let z and x be non-zero homogeneous elements i...
AbstractWe consider the question of determining the maximum number of points on sections of Grassman...
We consider the question of determining the maximum number of points on sections of Grassmannians ov...
In this thesis, we study subvarieties of Grassmannians which are characterized by certain rank one c...
We construct a full exceptional collection of vector bundles in the derived categories of coherent s...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
15 pagesLet k be a field, and A a finite-dimensional k-algebra. Let d be an integer. Denote by Gr(d,...
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian f...
AbstractWe study projective homogeneous varieties under an action of a projective unitary group (of ...
AbstractFor a nondegenerate quadratic form φ on a vector space V of dimension 2n+1, let Xd be the va...
Abstract. We consider a central division algebra over a separable quadratic extension of a base fiel...
AbstractWe prove the following conjecture due to Bryant Mathews (2008). Let Qi be the orthogonal gra...
To Joe, with gratitude, in celebration of his sixtieth birthday Abstract. In this paper, we introduc...
Abstract. It is shown that the proof by Mehta and Parameswaran of Wahl’s conjecture for Grassmannian...
AbstractWe prove that the Grassmannian of totally isotropic k-spaces of the polar space associated t...
ABSTRACT. Let V be a unitary space of dimension n and let z and x be non-zero homogeneous elements i...
AbstractWe consider the question of determining the maximum number of points on sections of Grassman...
We consider the question of determining the maximum number of points on sections of Grassmannians ov...
In this thesis, we study subvarieties of Grassmannians which are characterized by certain rank one c...
We construct a full exceptional collection of vector bundles in the derived categories of coherent s...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
15 pagesLet k be a field, and A a finite-dimensional k-algebra. Let d be an integer. Denote by Gr(d,...