122360469
Commutative algebraic groups and intersections of quadrics
Let E be a commutative connected algebraic group over a field k. The purpose of this paper is to construct embeddings of E into some pN such that the homogeneous ideal of the closure E of E in ~,u is generated by quadratic forms. In particular such an E is idealtheoretically an intersection of quadrics. To outline a special case let k be the field of complex numbers and consider the canonical exact sequence O-~G ~ E-~ A ~O
201061914
Über die Modulschemata der Kurven vom Geschlecht 2 mit 1, 2 oder 3 Weierstraßpunkten.
122361054
On nonlinear Schrödinger equations in the theory of quantum mechanical dissipative systems
On resout le probleme de Cauchy iΨ u t=HΨ avec H=―h 2 δ 2 /2mδ 2 x+ω 2 x 2 /2+γW(Ψ) (γ=cte) par une methode de developpement de Galerkin en utilisant les fonctions propres de l'oscillateur harmonique. On peut montrer que le probleme aux valeurs initiales non lineaire a une dimension d'espace iΨ t =HΨ, Ψ(x,0)=Ψ 0 (x) a des solutions faibles globales determinees de facon unique