Several Complex Variables

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Paperback | 30 June 2011

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578 Pages

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Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry. The 1995â"1996 MSRI program on Several Complex Variables emphasized these interactions and concentrated on developments and problems of interest that capitalize on this interplay of ideas and techniques. This collection, first published in 2000, provides a remarkably clear and complete picture of the status of research in these overlapping areas and will provide a basis for significant continued contributions from researchers. Several of the articles are expository or have extensive expository sections, making this an excellent introduction for students to the use of techniques from these other areas in several complex variables. Thanks to its distinguished list of contributors this volume provides a representative sample of the work done in Several Complex Variables.

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Preface
Local holomorphic equivalence of real analytic submanifolds in CN
How to use cycle space in complex geometry
Resolution of singularities
Global regularity of the ∂-Neuman problem: a survey of the L2-Sobolev theory
Recent developments in the classification theory of compact Käehler manifolds
Remarks on global irregularity in the ∂-Neumann problem
Subelliptic estimates and finite type
Pseudoconvex-concave duality and regularization of currents
Complex dynamics in higher dimension
Attractors in P2
Analytic Hilbert quotients
Varieties of minimal rational tangents on uniruled projective manifolds
Recent developments in Seiberg-Witten theory and complex geometry
Recent techniques in hyperbolicity problems
Rigidity theorems in Käehler geometry and fundamental groups of varieties
Nevanlinna theory and diophantine approximation
Table of Contents provided by Publisher. All Rights Reserved.

Several Complex Variables

At a Glance

Paperback

Shipping

How to return your order

Defective items

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