| Titre : | Several complex variables Vol. VII : sheaf-theoretical methods in complex analysis | | Type de document : | texte imprimé | | Auteurs : | H. Grauert, Auteur ; TH. Paternell, Auteur ; R. Remmert, Auteur | | Editeur : | New York : Springer-Verlag | | Année de publication : | 1994 | | Collection : | Encyclopaedia of Mathematical Sciences | | Importance : | 369 p. | | Présentation : | couv. ill. en coul. | | Format : | 24 cm. | | ISBN/ISSN/EAN : | 978-3-540-56259-1 | | Langues : | Anglais (eng) | | Catégories : | MATHEMATIQUES
| | Index. décimale : | 04-01 Mathématiques générales | | Résumé : | This book offers a systématic introduction to and a comprehensive survey of yhe theory of complex aspaces. the first two chapters cover the founations, then topics as cohomology of complex spaces, analytic and meromorphic decompositions of coplex spaces,the levi problem and vanishing theorems, q-convex and q-convex spaces and bimeromorphic geometry are treated. finally cycle spaces and extension theorems are discussed.this volume is the first survey of the theory of complex spaces and includes various historical remarks.
It will be useful to graduate students and reseearchers in complex analysis, algebraic geoltry and differential geometry. also mathematical physicists interested in these fields will find the volume useful. | | Note de contenu : | Contents
Introduction
Chapter I. Local Theory of Complex Spaces
Chapter II. Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces
Chapter III. Cohomology
Chapter IV. Seminormal Complex Spaces
Chapter V. Pseudoconvexity, the Levi Problem and Vanishing Theorems
Chapter VI. Theory of q-Convesity and q-Concavity
Chapter VII. Modifications
Chapter VIII. Cycle Spaces
Chapter IX. Extensions of Analytic Objects
Author Index
Subject Index |
Several complex variables Vol. VII : sheaf-theoretical methods in complex analysis [texte imprimé] / H. Grauert, Auteur ; TH. Paternell, Auteur ; R. Remmert, Auteur . - New York : Springer-Verlag, 1994 . - 369 p. : couv. ill. en coul. ; 24 cm.. - ( Encyclopaedia of Mathematical Sciences) . ISSN : 978-3-540-56259-1 Langues : Anglais ( eng) | Catégories : | MATHEMATIQUES
| | Index. décimale : | 04-01 Mathématiques générales | | Résumé : | This book offers a systématic introduction to and a comprehensive survey of yhe theory of complex aspaces. the first two chapters cover the founations, then topics as cohomology of complex spaces, analytic and meromorphic decompositions of coplex spaces,the levi problem and vanishing theorems, q-convex and q-convex spaces and bimeromorphic geometry are treated. finally cycle spaces and extension theorems are discussed.this volume is the first survey of the theory of complex spaces and includes various historical remarks.
It will be useful to graduate students and reseearchers in complex analysis, algebraic geoltry and differential geometry. also mathematical physicists interested in these fields will find the volume useful. | | Note de contenu : | Contents
Introduction
Chapter I. Local Theory of Complex Spaces
Chapter II. Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces
Chapter III. Cohomology
Chapter IV. Seminormal Complex Spaces
Chapter V. Pseudoconvexity, the Levi Problem and Vanishing Theorems
Chapter VI. Theory of q-Convesity and q-Concavity
Chapter VII. Modifications
Chapter VIII. Cycle Spaces
Chapter IX. Extensions of Analytic Objects
Author Index
Subject Index |
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Several complex variables Vol. VII / H. Grauert
