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Sous-espaces privilégiés d'un polycylindre : déformations de singularités isolées / Geneviève Pourcin ; sous la direction d'Adrien Douady

Auteur principal : Pourcin, Geneviève, AuteurAuteur secondaire : Douady, Adrien, 1935-2006, Directeur de thèseAuteur secondaire collectivité : Université Pierre et Marie Curie - Paris 6, Etablissement de soutenanceType de document : ThèseLangue : français.Pays : France.Éditeur : [S.l.] : [s.n.], 1975Description : 1 vol. (62 p.) ; 30 cmBibliographie : Bibliogr. p. 62.Sujet MSC : 32C35, Several complex variables and analytic spaces -- Analytic spaces, Analytic sheaves and cohomology groups
32A38, Several complex variables and analytic spaces -- Holomorphic functions of several complex variables, Algebras of holomorphic functions
32K05, Several complex variables and analytic spaces -- Generalizations of analytic spaces, Banach analytic spaces
46E25, Functional analysis -- Linear function spaces and their duals, Rings and algebras of continuous, differentiable or analytic functions
97A70, Mathematics education - General, mathematics and education, Theses and postdoctoral theses
Note de thèse: Thèse de doctorat, mathématiques, 1975, université Paris XIEn-ligne : Numdam
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2.espaces hp de plusieurs variables réelles

Bibliogr. p. 62

Thèse de doctorat mathématiques 1975 université Paris XI

This paper precises the notion of privilege given by A. Douady. A privileged subspace of a polycylinder K is defined by a closed ideal of continuous functions over K which are holomorphic over K ˙ , this ideal being supposed of finite resolution.The privileged subspaces of a fixed polycylinder are classified by an analytic
space of infinite dimension, introduced by A. Douady; we give here its universal property.Moreover we obtain a local criterium of privilege with conditions only on the boundary of K .Finally we construct a banachic analytic space of morphisms which is useful in problems of deformations.

ON TROUVE TROIS ARTICLES: SOUS-ESPACES PRIVILIGIES D'UN POLYCYLINDRE, DEFORMATIONS DE SINGULARITES ISOLEES, LE THEOREME DE DONADY AU-DESSUS DE 5. ON DEVELOPPE ET UTILISE LES TECHNIQUES DE PLATITUDE ET PRIVILEGE INTRODUITES PAR A. DONADY, EN LIAISON AVEC LES PROBLEMES DE MODULES EN GEOMETRIE ANALYTIQUE

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