Prospects in Complex Geometry: Proceedings of the 25th Taniguchi International Symposium held in Katata, and the Conference held in Kyoto, July 31–August 9, 1989

Akira Fujiki (auth.), Junjiro Noguchi, Takeo Ohsawa (eds.)3540540539, 9783540540533, 0387540539

In the Teichmüller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years. Thus the central subject of “Complex Structure” was a timely choice for the joint meetings in Katata and Kyoto in 1989. The invited participants exchanged ideas on different approaches to related topics in complex geometry and mapped out the prospects for the next few years of research.

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Table of contents :
Hyperkähler structure on the moduli space of flat bundles….Pages 1-83
Hardy spaces and BMO on Riemann surfaces….Pages 84-93
Application of a certain integral formula to complex analysis….Pages 94-114
On inner radii of Teichmüller spaces….Pages 115-126
On the causal structures of the silov boundaries of symmetric bounded domains….Pages 127-159
The behavior of the extremal length function on arbitrary Riemann surface….Pages 160-169
A strong harmonic representation theorem on complex spaces with isolated singularities….Pages 170-176
Mordell-Weil lattices of type E 8 and deformation of singularities….Pages 177-202
The spectrum of a Riemann surface with a cusp….Pages 203-226
Moduli spaces of harmonic and holomorphic mappings and diophantine geometry….Pages 227-253
Global nondeformability of the complex projective space….Pages 254-280
Some aspects of hodge theory on non-complete algebraic manifolds….Pages 281-316
L p -Cohomology and satake compactifications….Pages 317-339
Harmonic maps and Kähler geometry….Pages 340-370
Complex-analyticity of pluriharmonic maps and their constructions….Pages 371-407
Higher eichler integrals and vector bundles over the moduli of spinned Riemann surfaces….Pages 408-421