Sous-espaces privilégiés d'un polycylindre : déformations de singularités isolées / Geneviève Pourcin ; sous la direction d'Adrien Douady
Type 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 groups32A38, Holomorphic functions of several complex variables, Algebras of holomorphic functions
32K05, Several complex variables and analytic spaces - Generalizations of analytic spaces, Banach analytic manifolds and spaces
46E25, Functional analysis - Linear function spaces and their duals, Rings and algebras of continuous, differentiable or analytic functions
97-02, Research exposition (monographs, survey articles) pertaining to mathematics educationNote de thèse: Thèse de doctorat, mathématiques, 1975, université Paris XIEn-ligne : Numdam Item type:
Thèse
| Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|
| CMI Salle S | Thèses POU (Browse shelf(Opens below)) | Available | 04400-01 |
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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