L² Approaches in Several Complex Variables: Development of Oka-Cartan Theory by L² Estimates for the d-bar Operator - Couverture souple

Livre 134 sur 187: Springer Monographs in Mathematics

Ohsawa, Takeo

 
9784431557487: L² Approaches in Several Complex Variables: Development of Oka-Cartan Theory by L² Estimates for the d-bar Operator

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Synopsis

Part I Holomorphic Functions and Complex Spaces.- Convexity Notions.- Complex Manifolds.- Classical Questions of Several Complex Variables.- Part II The Method of L² Estimates.- Basics of Hilb

ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III L² Variant of Oka-Cartan Theory.- Extension Theorems.- Division Theorems.- Multiplier Ideals.- Part IV Bergman Kernels.- The Bergman Kernel and Metric.- Bergman Spaces and Associated Kernels.- Sequences of Bergman Kernels.- Parameter Dependence.- Part V L² Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- L² Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces.

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Autres éditions populaires du même titre

9784431557463: L² Approaches in Several Complex Variables: Development of Oka cartan Theory by L² Estimates for the ?¯ Operator

Edition présentée

ISBN 10 :  4431557466 ISBN 13 :  9784431557463
Editeur : Springer Verlag, Japan, 2015
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