Disconnected groups of Lie type as Galois groups.
Discriminant Sets of Families of Hyperbolic Polynomials of Degree 4 and 5
∗ Research partially supported by INTAS grant 97-1644A real polynomial of one real variable is hyperbolic (resp. strictly hyperbolic) if it has only real roots (resp. if its roots are real and distinct). We prove that there are 116 possible non-degenerate configurations between the roots of a degree 5 strictly hyperbolic polynomial and of its derivatives (i.e. configurations without equalities between roots). The standard Rolle theorem allows 286 such configurations. To obtain the result we study...
Discussion de la fraction
Diskret bewertete perfekte Körper mit unvollkommenem Restklassenkörper.
Disque générique et équations différentielles
Dividing rational points on abelian varieties of CM-type
Divisibilité du nombre de classes des corps abéliens réels.
Divisible subgroups of Brauer groups and trace forms of central simple algebras.
Division algebras that ramify only along a singular plane cubic curve.
Divisionsalgebren über Funktionenkörpern
Double coverings of rational surface.
Double transitivity of Galois groups of trinomials
Dual d’un espace et transformation de Fourier
Dual graphs of degenerating curves.
Dualité, et transformation de Fourier -adiques
Dualité et transformation de Fourier p-adiques
Effective Convergence Bounds for Frobenius Structures on Connections
Effective lifting of 2-cocycles for Galois cohomology
We give explicit formulas for reducing the problem of determining whether a given 2-cocycle is a coboundary and if so finding a lifting 1-cochain to a system of norm equations.
Effective Nullstellensatz for arbitrary ideals
Let be polynomials in variables without a common zero. Hilbert’s Nullstellensatz says that there are polynomials such that . The effective versions of this result bound the degrees of the in terms of the degrees of the . The aim of this paper is to generalize this to the case when the are replaced by arbitrary ideals. Applications to the Bézout theorem, to Łojasiewicz–type inequalities and to deformation theory are also discussed.
Effektive Konstruktion der algebraischen Erweiterungen von GF (p) sowie der vollständigen Kreisteilungskörper.