Equivariant brauergroups in algebraic number theory
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 counts of points of the moduli spaces of pointed hyperelliptic curves.
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 Euler characteristics and sheaf resolvents
For certain tame abelian covers of arithmetic surfaces we obtain formulas, involving a quadratic form derived from intersection numbers, for the equivariant Euler characteristics of both the canonical sheaf and also its square root. These formulas allow us to carry out explicit calculations; in particular, we are able to exhibit examples where these two Euler characteristics and that of the structure sheaf are all different and non-trivial. Our results are obtained by using resolvent techniques...
Equivariant Form of the Deuring-Safarevic Formula for Hasse-Witt Invariants.
Equivariant formal group laws and complex oriented cohomology theories.
Equivariant K-theory and representations of Hecke algebras. II.
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
Equivariant vector bundles over affine subsets of the projective line
Equivariant virtual Betti numbers
We define a generalised Euler characteristic for arc-symmetric sets endowed with a group action. It coincides with the Poincaré series in equivariant homology for compact nonsingular sets, but is different in general. We put emphasis on the particular case of , and give an application to the study of the singularities of Nash function germs via an analog of the motivic zeta function of Denef and Loeser.
Ergänzung und Berichtigung zu : Die Zahl der Spitzen und die Jacobi-Algebra einer isolierten Hyperflächensingularität.
Ergänzung zu dem Aufsatze "Ueber die Formen der Curven dritter Ordnung". (Bd. 75 pag. 153).
Ergänzung zu der Arbeit: Vektorbündel vom Rang 2 über dem n-dimensionalen komplex-projektiven Raum.
Ergänzung zur Arbeit "Quadratische Formen über affinen Algebren und ein algebraischer Beweis des Satzes von Borsuk-Ulam".
Ergänzungen zu meiner Arbeit: ,,Die Homologiegruppen der Mannigfaltigkeit, die aus den linearen k-Räumen auf einer nicht-ausgearteten 2k-Quadrik besteht"
Errata et addenda à «Lemmes de zéros dans les groupes algébriques commutatifs»