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

Junjiro Noguchi, Takeo Ohsawa (Herausgeber)

Buch | Softcover

VI, 126 Seiten

1991 | 1991
Springer Berlin (Verlag)
978-3-540-54053-3 (ISBN)

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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.

Hyperkähler structure on the moduli space of flat bundles.- Hardy spaces and BMO on Riemann surfaces.- Application of a certain integral formula to complex analysis.- On inner radii of Teichmüller spaces.- On the causal structures of the silov boundaries of symmetric bounded domains.- The behavior of the extremal length function on arbitrary Riemann surface.- A strong harmonic representation theorem on complex spaces with isolated singularities.- Mordell-Weil lattices of type E8 and deformation of singularities.- The spectrum of a Riemann surface with a cusp.- Moduli spaces of harmonic and holomorphic mappings and diophantine geometry.- Global nondeformability of the complex projective space.- Some aspects of hodge theory on non-complete algebraic manifolds.- Lp-Cohomology and satake compactifications.- Harmonic maps and Kähler geometry.- Complex-analyticity of pluriharmonic maps and their constructions.- Higher eichler integrals and vector bundles over the moduli of spinned Riemann surfaces.

Erscheint lt. Verlag	10.7.1991
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VI, 126 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	649 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Algebraic Geometry • Differential Geometry • Kähler Geometry • manifold • moduli space
ISBN-10	3-540-54053-9 / 3540540539
ISBN-13	978-3-540-54053-3 / 9783540540533
Zustand	Neuware