Equidimensionality of the Brauer loop scheme.
Equivalence classes of the 3rd Grassman space over a 5-dimensional vector space.
Equivariant classification of 2-torus manifolds
We consider locally standard 2-torus manifolds, which are a generalization of small covers of Davis and Januszkiewicz and study their equivariant classification. We formulate a necessary and sufficient condition for two locally standard 2-torus manifolds over the same orbit space to be equivariantly homeomorphic. This leads us to count the equivariant homeomorphism classes of locally standard 2-torus manifolds with the same orbit space.
Equivariant degenerations of spherical modules for groups of type
V. Alexeev and M. Brion introduced, for a given a complex reductive group, a moduli scheme of affine spherical varieties with prescribed weight monoid. We provide new examples of this moduli scheme by proving that it is an affine space when the given group is of type and the prescribed weight monoid is that of a spherical module.
Equivariant K-theory of flag varieties revisited and related results
We obtain several several results on the multiplicative structure constants of the T-equivariant Grothendieck ring of the flag variety G/B. We do this by lifting the classes of the structure sheaves of Schubert varieties in to R(T) ⊗ R(T), where R(T) denotes the representation ring of the torus T. We further apply our results to describe the multiplicative structure constants of where X denotes the wonderful compactification of the adjoint group of G, in terms of the structure constants of...
Equivariant principal bundles for G–actions and G–connections
Given a complex manifold M equipped with an action of a group G, and a holomorphic principal H–bundle EH on M, we introduce the notion of a connection on EH along the action of G, which is called a G–connection. We show some relationship between the condition that EH admits a G–equivariant structure and the condition that EH admits a (flat) G–connection. The cases of bundles on homogeneous spaces and smooth toric varieties are discussed.
Equivariant sheaves on toric varieties
Equivariant vector bundles on toric varieties and some problems of linear algebra
Errata-Corrige : “Canonical surfaces with and ”
Erratum: Complexity and rank double cones and tensor products decompositions.
Erratum: “Curves on generic hypersurfaces”
Erratum : On the Hasse principle for homogeneous spaces with finite stabilizers
Espaces homogènes et arithmétique des schémas en groupes réductifs sur les anneaux de Dedekind
Soit un schéma arithmétique de dimension , c’est-à-dire le spectre de l’anneau des entiers d’un corps de nombres ou une courbe algébrique, lisse, irréductible, définie sur un corps fini ou algébriquement clos. Nous associons à un -espace homogène (à gauche) d’un groupe réductif dont l’isotropie est aussi un groupe réductif une classe caractéristique qui, dans le cas où est semi-simple, vit dans un de à valeurs dans le noyau du revêtement universel d’une -forme de . Cette classe...
Espaces homogenes spheriques.
Espaces principaux homogènes localement triviaux
Espaces projectifs anisotropes
Espaces projectifs anisotropes
Éventails et variétés toriques
Every Algebraic Set in n-Space Is the Intersection of n Hypersurfaces.
Every rational surface is separably split.