Several Complex Variables: Proceedings of the 1981 Hangzhou Conference / Edition 1

Several Complex Variables: Proceedings of the 1981 Hangzhou Conference / Edition 1

Pub. Date:
Birkhäuser Boston


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Product Details

ISBN-13: 9780817631895
Publisher: Birkhäuser Boston
Publication date: 01/01/1984
Edition description: Softcover reprint of the original 1st ed. 1984
Pages: 268
Product dimensions: 5.98(w) x 9.02(h) x 0.02(d)

Table of Contents

§1: 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.- §2: 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.- §3: 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).- §4: 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.- §5: 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.

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