Description
Book SynopsisFirst published in 2000, this book provides a clear and complete picture of research in Several Complex Variables and its interactions with PDEs, algebraic geometry, number theory, and differential geometry. The expository nature of the articles makes this an excellent introduction for students as well as a basis for continuing research.
Table of ContentsPreface; 1. Local holomorphic equivalence of real analytic submanifolds in CN M. Salah Baouendi and Linda Preiss Rothschild; 2. How to use cycle space in complex geometry Daniel Barlet; 3. Resolution of singularities Edward Bierstone and Pierre D. Milman; 4. Global regularity of the ∂-Neuman problem: a survey of the L2-Sobolev theory Harold P. Boas and Emial J. Straube; 5. Recent developments in the classification theory of compact Käehler manifolds Frederic Campana and Thomas Peternell; 6. Remarks on global irregularity in the ∂-Neumann problem Michael Christ; 7. Subelliptic estimates and finite type John P. D'Angelo and Joseph J. Kohn; 8. Pseudoconvex-concave duality and regularization of currents Jean-Pierre Demailly; 9. Complex dynamics in higher dimension John Erik Fornaess and Nessim Sibony; 10. Attractors in Ρ2 John Erik Fornaess and Brendan Weickert; 11. Analytic Hilbert quotients Peter Heinzner and Alan Huckleberry; 12. Varieties of minimal rational tangents on uniruled projective manifolds Jun-Muk Hwang and Ngaiming Mok; 13. Recent developments in Seiberg–Witten theory and complex geometry Christian Okonek and Andrei Teleman; 14. Recent techniques in hyperbolicity problems Yum-Tong Siu; 15. Rigidity theorems in Käehler geometry and fundamental groups of varieties Domingo Toledo; 16. Nevanlinna theory and diophantine approximation Paul Vojta.
