Einbettungen kommutativer algebraischer Gruppen und einige ihrer Eigenschaften.
Elementary proof of a theorem of Bruhat-Tits-Rousseau and of a theorem of Tits
Elliptic cohomologies: an introductory survey.
Let α and β be any angles then the known formula sin (α+β) = sinα cosβ + cosα sinβ becomes under the substitution x = sinα, y = sinβ, sin (α + β) = x √(1 - y2) + y √(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics.In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler addition formula (1778): F(x,y) =: (x √R(y) + y √R(x)/1 - εx2y2)....
Elliptic curves and canonical subgroups of formal groups.
Embeddings of a family of Danielewski hypersurfaces and certain -actions on
We consider the family of polynomials in of the form . Two such polynomials and are equivalent if there is an automorphism of such that . We give a complete classification of the equivalence classes of these polynomials in the algebraic and analytic category. As a consequence, we find the following results. There are explicit examples of inequivalent polynomials and such that the zero set of is isomorphic to the zero set of for all . There exist polynomials which are algebraically...
Embeddings of finite classical groups over field extensions and their geometry.
Endlich präsentierte arithmetische Gruppen und K2 über Laurent-Polynomringen.
Endliche Automorphismengruppen analytischer C-Algebren und ihre Invarianten.
Endliche Hopfalgebren.
Endomorphism rings of almost full formal groups.
Endomorphisms of group schemes and rational points on curves
Equations diophantiennes exponentielles
Equations diophantiennes exponentielles.
Equations for Endomorphisms of Abelian Varieties.
Equations of some wonderful compactifications
De Concini and Procesi have defined the wonderful compactification of a symmetric space where is a complex semisimple adjoint group and the subgroup of fixed points of by an involution . It is a closed subvariety of a Grassmannian of the Lie algebra of . In this paper we prove that, when the rank of is equal to the rank of , the variety is defined by linear equations. The set of equations expresses the fact that the invariant alternate trilinear form on vanishes on the -eigenspace...
Equidimensional actions of algebraic tori
Let be an affine conical factorial variety over an algebraically closed field of characteristic zero. We consider equidimensional and stable algebraic actions of an algebraic torus on compatible with the conical structure. We show that such actions are cofree and the nullcones of associated with them are complete intersections.
Equivariant formal group laws and complex oriented cohomology theories.
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 vector bundles over affine subsets of the projective line
Errata et addenda à «Lemmes de zéros dans les groupes algébriques commutatifs»