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Orbits of families of vector fields on subcartesian spaces

Jedrzej Śniatycki (2003)

Annales de l'Institut Fourier

Orbits of complete families of vector fields on a subcartesian space are shown to be smooth manifolds. This allows a description of the structure of the reduced phase space of a Hamiltonian system in terms of the reduced Poisson algebra. Moreover, one can give a global description of smooth geometric structures on a family of manifolds, which form a singular foliation of a subcartesian space, in terms of objects defined on the corresponding family of vector fields. Stratified...

Order functions of plurisubharmonic functions

Halil Celik, Evgeny Poletsky (1997)

Studia Mathematica

We consider the following problem: find on $ℂ^{2}$ a plurisubharmonic function with a given order function. In particular, we prove that any positive ambiguous function on $ℂ ℙ^{1}$ which is constant outside a polar set is the order function of a plurisubharmonic function.

Ordre d'une fonction de Dirichlet entière de plusieurs variables complexes

Daoud, S. (1985/1986)

Portugaliae mathematica

Osgood-Hartogs-theorems of mixed type.

K. Spallek, P. Tworzewski, T. Winiarski (1990)

Mathematische Annalen

Osservazioni sulla coomologia del $\partial \bar{\partial}$

B. Bigolin (1970)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Outer ideals and division in $A^{\infty} (Ω)$

Eric Amar (1996)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Ouverts analytiques d'une courbe algébrique en géométrie rigide

Qing Liu (1987)

Annales de l'institut Fourier

Nous étudions les espaces analytiques rigides de dimension 1, réguliers, de genre fini sur un corps valué complet $k$ . Nous montrons qu’un tel espace $X$ admet une réduction préstable. Si $k$ est maximalement complet, $X$ se plonge dans une courbe algébrique (analytifiée). On donne aussi une caractérisation des espaces analytiques qui sont le complémentaire d’une partie compacte dans une courbe algébrique.