Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010303728 | QA331 S49 1999 | Open Access Book | Book | Searching... |
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Summary
Summary
Several Complex Variables is a central area of mathematics with strong interactions with partial differential equations, algebraic geometry, number theory, and differential geometry. The 1995-1996 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.
Table of Contents
| Preface |
| 1 Local holomorphic equivalence of real analytic submanifolds in CNM. Salah Baouendi and Linda Preiss Rothschild |
| 2 How to use cycle space in complex geometryDaniel Barlet |
| 3 Resolution of singularitiesEdward Bierstone and Pierre D. Milman |
| 4 Global regularity of the ∂-Neuman problem: a survey of the L2-Sobolev theoryHarold P. Boas and Emial J. Straube |
| 5 Recent developments in the classification theory of compact Käehler manifoldsFrederic Campana and Thomas Peternell |
| 6 Remarks on global irregularity in the ∂-Neumann problemMichael Christ |
| 7 Subelliptic estimates and finite typeJohn P. D'Angelo and Joseph J. Kohn |
| 8 Pseudoconvex-concave duality and regularization of currentsJean-Pierre Demailly |
| 9 Complex dynamics in higher dimensionJohn Erik Fornaess and Nessim Sibony |
| 10 Attractors in P2John Erik Fornaess and Brendan Weickert |
| 11 Analytic Hilbert quotientsPeter Heinzner and Alan Huckleberry |
| 12 Varieties of minimal rational tangents on uniruled projective manifoldsJun-Muk Hwang and Ngaiming Mok |
| 13 Recent developments in Seiberg-Witten theory and complex geometryChristian Okonek and Andrei Teleman |
| 14 Recent techniques in hyperbolicity problemsYum-Tong Siu |
| 15 Rigidity theorems in Käehler geometry and fundamental groups of varietiesDomingo Toledo |
| 16 Nevanlinna theory and diophantine approximationPaul Vojta |
