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Several complex variables : proceedings of the 1981 Hangzhou conference

Author: Joseph John Kohn
Publisher: Boston : Birkhäuser Boston, ©1984.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
In recent years there has been increasing interaction among various branches of mathematics. This is especially evident in the theory of several complex variables where fruitful interplays of the methods of algebraic geometry, differential geometry, and partial differential equations have led to unexpected insights and new directions of research. In China there has been a long tradition of study in complex analysis,  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Kongress
Congresses
Congrès
Additional Physical Format: Print version:
Several complex variables.
Boston : Birkhäuser Boston, ©1984
(DLC) 84006210
(OCoLC)10605104
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Joseph John Kohn
ISBN: 9781461252962 1461252962
OCLC Number: 707594708
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Description: 1 online resource (xiii, 267 pages) : illustrations
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: ʹ1: Methods of Partial Differential Equations --
Boundary behavior of holomorphic mappings --
Invariant metrics on pseudoconvex domains --
Local bounds for orders of contact and a conjecture about subellipticity --
On an ideal of ring of differential operators --
Microlocalization of CR structures --
A note on the boundary Laplacian operator --
ʹ2: Methods of Differential Geometry --
Géométrie des compactifications des espaces hermitiens localement symétriques --
Holomorphic projective structures and invariant distances --
Complex-analyticity of harmonic maps and vanishing theorems --
The characterization of strictly parabolic spaces --
The characteristic numbers of 4-dimensional Kähler manifolds --
On the Schwarz lemma for complete hermitian manifolds --
Holomorphic maps and conformal transformation on hermitian manifolds --
The degree of strong nondegeneracy of the bisectional curvature of exceptional bounded symmetric domains --
ʹ3: Holomorphic Vector Bundles --
Holomorphic vector bundles on tori --
Submanifolds of projective space with semi-stable normal bundle --
Parameters for instanton and smoothness of M(0,2) --
ʹ4: Kernels and Integral Formulae --
The integral representation for polyhedral domains of?n --
Removable singularities for holomorphic functions which satisfy the area-BMO condition --
Singular integrals in several complex variables --
Integral formulae in complex analysis --
On the representative domain --
A remark on Poisson kernels --
Some applications of Bochner-Martinelli integral representation --
ʹ5: Pseudoconvexity, Function Fields, Algebraic Varieties, Value Distribution Theory --
Some aspects of pseudoconvexity theory in several complex variables --
A higher dimensional analogue of Mordell's conjecture over function fields and related problems --
Rank-complete function fields --
Chern classes on algebraic varieties with arbitrary singularities --
A general criterion --
Riemann-Roch theorem for strongly pseudoconvex manifolds of dimension three.
Responsibility: J.J. Kohn [and others], editors.

Abstract:

The papers presented in the conference encompass all major aspects of several complex variables, in particular, in such areas as complex differential geometry, integral representation, boundary  Read more...

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