Definite binary quadratic forms with class number one
Definite Lattices Over Real Algebraic Function Domains.
Definite quaternion orders of class number one
Definite unimodular lattices having an automorphism of given characteristic polynomial.
Définition de paramètres d'équirépartition
Deformation Retracts with Lowest Possible Dimension of Arithmetic Quotients of Self-Adjoint Homogeneous Cones.
Deformations and derived categories
In this paper we generalize the deformation theory of representations of a profinite group developed by Schlessinger and Mazur to deformations of objects of the derived category of bounded complexes of pseudocompact modules for such a group. We show that such objects have versal deformations under certain natural conditions, and we find a sufficient condition for these versal deformations to be universal. Moreover, we consider applications to deforming Galois cohomology classes and the étale hypercohomology...
Deformations of Diophantine systems for quadratic forms of the root lattices .
Deformations of Galois representations arising from degenerate extensions
Deformations of the Taylor formula.
Degenerate Symplectic and Orthogonal Bundles an IP1.
Degeneration of multiple Euler products
Degeneration of polylogarithms and special values of -functions for totally real fields.
Degré d’une extension de sur laquelle est semi-stable
Soit un entier . Pour un nombre premier on note l’extension maximale non ramifiée de . Supposons que divise exactement . Alors, en utilisant les travaux de Carayol et la théorie du corps de classes local, on détermine une extension de sur laquelle la jacobienne de la courbe modulaire de admet une réduction semi-stable, puis on donne une estimation de son degré.
Degree for cohomological invariants for quadratic forms.
Degree of local zeta functions and monodromy
Degree three cohomological invariants of semisimple groups
We study the degree 3 cohomological invariants with coefficients in of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given.
Degree two monomial representations of local Weil groups.
Delaunay polytopes derived from the Leech lattice
A Delaunay polytope in a lattice is perfect if any affine transformation that preserve its Delaunay property is a composite of an homothety and an isometry. Perfect Delaunay polytopes are rare in low dimension and here we consider the ones that one can get in lattice that are sections of the Leech lattice.By doing so we are able to find lattices with several orbits of perfect Delaunay polytopes. Also we exhibit Delaunay polytopes which remain Delaunay in some superlattices. We found perfect Delaunay...
Delay Model of Hematopoietic Stem Cell Dynamics: Asymptotic Stability and Stability Switch
A nonlinear system of two delay differential equations is proposed to model hematopoietic stem cell dynamics. Each equation describes the evolution of a sub-population, either proliferating or nonproliferating. The nonlinearity accounting for introduction of nonproliferating cells in the proliferating phase is assumed to depend upon the total number of cells. Existence and stability of steady states are investigated. A Lyapunov functional is built to obtain the global asymptotic stability of the...