Variétés abéliennes CM et grosse monodromie finie sauvage

Variétés et fonctions rationnelles

We say that a rational (resp. a subsequential) function tl from a free monoid into another one is in the variety of monoids V if it may realized by some unambiguous (resp. subsequential) transducer whose monoid of transitions is in V. We characterize these functions when V is the variety of aperiodic monoids, and the variety of groups. In the first case, the period of am ’ (15) divides that of ...

Reply to Sauvage et al

TO THE EDITOR—We thank Sauvage et al for their correspondence. We would first like to emphasize that the possibility of false-negative polymerase chain reaction (PCR) results is another hypothesis that the authors have not explored. Indeed, several reasons, such as poor conservation conditions or long conservation periods for the plasma or extracted nucleic acids and/or low copy numbers of the ...

Introduction aux variétés différentiables Solutions et Exercices

Solution 12.1. Let ∑ α∈A ηα be a partition of unity supported on the coordinate charts of the orientable manifold. Let φα : Uα → Rn be the orientable coordinate charts, and let xα, . . . , xα. Then for each α define an n form on M by ωα = ηαdxα∧ · · · ∧dxα. This is smooth in Uα because it is a product of a smooth form and function. Outside of Uα the form is zero in a neighbourhood of every poin...

Familles de graphes de présentation finie, propriétés et applications

Géométrie Des Groupes Oscillateurs Et Variétés Lo- Calement Symétriques

The Oscillator Groups,Gλ, are the only solvable, non commutative, simply connected Lie groups to admit a Lorentzian bi-invariant metric. For these groups, we give sufficient conditions for a left-invariant pseudo-Riemannian metric to be complete, we determine the group of isometries, we exhibit a left-invariant affine structure and prove that it is not Lorentzian. As an application, we provide ...