We construct a full exceptional collection of vector bundles in the derived categories of coherent sheaves on the Grassmannian of isotropic two-dimensional subspaces in a symplectic vector space of dimension 2n and in an orthogonal vector space of dimension 2n+ 1 for all n. 1
AbstractLet V be a 2n-dimensional vector space (n⩾1) over a field K equipped with a nondegenerate al...
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian f...
We construct a full, strongly exceptional collection of line bundles on the variety X that is the bl...
In this paper we prove first a general theorem on semiorthogonal decompositions in derived categorie...
In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles over exceptio...
AbstractLet V be a non-degenerate symplectic space of dimension 2n over the field F and for a natura...
We construct an equivalence of categories from a strong categorical sl(2) action, following the work...
We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Gr...
Abstract. It is known that the category of homogeneous bundles on P2 is equivalent to the category o...
International audienceThe subject of this paper is the big quantum cohomology rings of symplectic is...
AbstractIt is known that the category of homogeneous bundles on P2 is equivalent to the category of ...
AbstractWe introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use t...
Abstract. We prove that the product of an arbitrary projective homogeneous variety Y by an orthogona...
In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-kn...
AbstractWe describe a maximal exceptional collection on the Cayley plane, the minimal homogeneous pr...
AbstractLet V be a 2n-dimensional vector space (n⩾1) over a field K equipped with a nondegenerate al...
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian f...
We construct a full, strongly exceptional collection of line bundles on the variety X that is the bl...
In this paper we prove first a general theorem on semiorthogonal decompositions in derived categorie...
In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles over exceptio...
AbstractLet V be a non-degenerate symplectic space of dimension 2n over the field F and for a natura...
We construct an equivalence of categories from a strong categorical sl(2) action, following the work...
We extend a theorem of Ottaviani on cohomological splitting criterion for vector bundles over the Gr...
Abstract. It is known that the category of homogeneous bundles on P2 is equivalent to the category o...
International audienceThe subject of this paper is the big quantum cohomology rings of symplectic is...
AbstractIt is known that the category of homogeneous bundles on P2 is equivalent to the category of ...
AbstractWe introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use t...
Abstract. We prove that the product of an arbitrary projective homogeneous variety Y by an orthogona...
In this paper we consider Grassmannians in arbitrary characteristic. Generalizing Kapranov's well-kn...
AbstractWe describe a maximal exceptional collection on the Cayley plane, the minimal homogeneous pr...
AbstractLet V be a 2n-dimensional vector space (n⩾1) over a field K equipped with a nondegenerate al...
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian f...
We construct a full, strongly exceptional collection of line bundles on the variety X that is the bl...