Vahlen's Group of Clifford Matrices and Spin-Groups.
Vanishing of Hochschild cohomology for affine group schemes and rigidity of homomorphisms between algebraic groups.
Vanishing of Odd-Dimensional Intersection Cohomology.
Variation of geometric invariant theory quotients
Variations on a theme of groups splitting by a quadratic extension and Grothendieck-Serre conjecture for group schemes with trivial invariant.
Variété des caractères et slice étale de l'espace des représentations d'un groupe
Variétés de Drinfeld compactes
Variétés de modules extrémales de faisceaux semi-stables sur IP2 (C).
Variétés horosphériques de Fano
Une variété horosphérique est une variété algébrique normale dans laquelle un groupe algébrique réductif opère avec une orbite ouverte fibrée en tores sur une variété de drapeaux. En particulier, les variétés toriques et les variétés de drapeaux sont horosphériques. Dans cet article, on classifie les variétés horosphériques de Fano en termes de certains polytopes rationnels qui généralisent les polytopes réflexifs considérés par V. Batyrev. Puis on obtient une majoration du degré des variétés horosphériques...
Variétés sphériques de type A
Varieties of topological groups, Lie groups and SIN-groups
In this paper we answer three open problems on varieties of topological groups by invoking Lie group theory. We also reprove in the present context that locally compact groups with arbitrarily small invariant identity neighborhoods can be approximated by Lie groups
Weakly proper toric quotients
We consider subtorus actions on complex toric varieties. A natural candidate for a categorical quotient of such an action is the so-called toric quotient, a universal object constructed in the toric category. We prove that if the toric quotient is weakly proper and if in addition the quotient variety is of expected dimension then the toric quotient is a categorical quotient in the category of algebraic varieties. For example, weak properness always holds for the toric quotient of a subtorus action...
Weights in cohomology and the Eilenberg-Moore spectral sequence
We show that in the category of complex algebraic varieties, the Eilenberg–Moore spectral sequence can be endowed with a weight filtration. This implies that it degenerates if all spaces involved have pure cohomology. As application, we compute the rational cohomology of an algebraic -variety ( being a connected algebraic group) in terms of its equivariant cohomology provided that is pure. This is the case, for example, if is smooth and has only finitely many orbits. We work in the category...
Weylgruppe und Momentabbildung.
When is a Ring of Torus Invariants a Polynomial Ring?
Zerlegbare Untergruppen affiner Gruppen.
Zero Estimates on Group Varieties I.
Zero estimates on group varieties II.
Zeros of holomorphic vector fields on singular spaces and intersection rings of Schubert varieties
Zur Arithmetik von Drinfeld-Moduln.