This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world s leading experts in their respective fields. This book features research and expository contributions from the 2013 Abel Symposium, held at the Norwegian University of Science and Technology Trondheim on July 2-5, 2013. The purpose of the symposium was to present the state of the art on the topics, and to discuss future research directions.
Inhaltsverzeichnis
1. E. Bedford et al: Pseudoautomorphisms with invariant elliptic curves. - 2. B. Berndtsson: The openness conjecture and complex Brunn-Minkowski inequalities. - 3. Z. Blocki: Estimates for partial and optimal constants. - 4. J. -P. Demailly: On the cohomology of pseudoeffective line bundles. - 5. F. Forstneric and A. Alarcon: Null holomorphic curves in C^3 and applications to the conformal Calabi-Yau problem. - 6. S. Grushevsky and I. Krichever: Real-normalized differentials and the elliptic Calogero-Moser system. - 7. X. Huang and Y. Zhang: On the CR transversality of holomorphic maps into hyperquadrics. - 8. J. Merker: Rationality in differential algebraic geometry. - 9. T. Ohsawa: A Survey on Levi flat hypersurfaces. - 10. S. Yau and H. Zuo: Interplay between CR geometry and Algebraic Geometry. - 11. T. Ueda: Fatou coordinates for parabolic dynamics. - 12. S. -K. Yeung: Aspects in complex hyperbolicity. - 13. X. Zhou: A Survey on L^2 extension problem.
