منابع مشابه
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 ...
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In this paper, we study abelian varieties of dimension 4 over number fields with the property that the Lie algebra of their Mumford–Tate group is C-isomorphic to Ga (sl2)3. Such abelian varieties occur naturally as fibres of universal families of abelian varieties over Shimura curves associated to algebraic groups over Q that are C-isomorphic to (SL2) 3. We study the reductionsmodulo prime idea...
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Let E/Q be an elliptic curve having complex multiplication by a given quadratic order of an imaginary quadratic field K. The field of definition of E is the ring class field Ω of the order. If the prime p splits completely in Ω, then we can reduce E modulo one the factors of p and get a curve E defined over Fp. The trace of the Frobenius of E is known up to sign and we need a fast way to find t...
متن کاملVariétés 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 ...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2018
ISSN: 0002-9939,1088-6826
DOI: 10.1090/proc/13885