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Displaying 3241 –
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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.
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.
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...
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...
Nous montrons que l’inégalité de Liouville-Baker-Feldman est une conséquence facile d’une minoration de formes linéaires en deux logarithmes.
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