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612-822-4611
L² Approaches in Several Complex Variables: Development of Oka-Cartan Theory by L² Estimates for the D-Bar Operator

L² Approaches in Several Complex Variables: Development of Oka-Cartan Theory by L² Estimates for the D-Bar Operator

Paperback

Series: Springer Monographs in Mathematics

General MathematicsGeometry

ISBN10: 4431562966
ISBN13: 9784431562962
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 196
Weight: 0.66
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English

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

ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III L 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 L Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- L Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces.

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Geometry