AbstractWe study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic. Applications to orthogonal grassmannians are provided
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
This paper is a survey of the known results on homogeneous operators. A small proportion of these re...
The isomorphisms between projective unitary congruence groups are known when the underlying Witt ind...
AbstractWe study projective homogeneous varieties under an action of a projective unitary group (of ...
Abstract. We prove that the product of an arbitrary projective homogeneous variety Y by an orthogona...
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian f...
AbstractFor a nondegenerate quadratic form φ on a vector space V of dimension 2n+1, let Xd be the va...
AbstractWe prove the following conjecture due to Bryant Mathews (2008). Let Qi be the orthogonal gra...
Abstract. We consider a central division algebra over a separable quadratic extension of a base fiel...
AbstractWe prove that the Grassmannian of totally isotropic k-spaces of the polar space associated t...
Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real...
Let V be 2n-dimensional vector space over a field equipped with a nondegenerate skew--Hermitian form...
Given a non-singular quadratic form $q$ of maximal Witt index on $V := V(2n+1,\F)$, let $\Delta$ be ...
Let G be a discrete countable group, and let Gamma be an almost normal subgroup. In this paper we in...
The Witt Extension Theorem states that the unitary group of a finite-dimensional vector space V equi...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
This paper is a survey of the known results on homogeneous operators. A small proportion of these re...
The isomorphisms between projective unitary congruence groups are known when the underlying Witt ind...
AbstractWe study projective homogeneous varieties under an action of a projective unitary group (of ...
Abstract. We prove that the product of an arbitrary projective homogeneous variety Y by an orthogona...
We study 2-incompressible Grassmannians of isotropic subspaces of a quadratic form, of a hermitian f...
AbstractFor a nondegenerate quadratic form φ on a vector space V of dimension 2n+1, let Xd be the va...
AbstractWe prove the following conjecture due to Bryant Mathews (2008). Let Qi be the orthogonal gra...
Abstract. We consider a central division algebra over a separable quadratic extension of a base fiel...
AbstractWe prove that the Grassmannian of totally isotropic k-spaces of the polar space associated t...
Let (V,H) be an anisotropic Hermitian space of finite dimension over the algebraic closure of a real...
Let V be 2n-dimensional vector space over a field equipped with a nondegenerate skew--Hermitian form...
Given a non-singular quadratic form $q$ of maximal Witt index on $V := V(2n+1,\F)$, let $\Delta$ be ...
Let G be a discrete countable group, and let Gamma be an almost normal subgroup. In this paper we in...
The Witt Extension Theorem states that the unitary group of a finite-dimensional vector space V equi...
Abstract. We prove Berhuy–Reichstein’s conjecture on the canonical dimension of orthogonal groups sh...
This paper is a survey of the known results on homogeneous operators. A small proportion of these re...
The isomorphisms between projective unitary congruence groups are known when the underlying Witt ind...
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