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 / [electronic resource] :
edited by Junjiro Noguchi, Takeo Ohsawa.
- Berlin, Heidelberg : Springer Berlin Heidelberg, 1991.
- VI, 126 p. online resource.
- Lecture Notes in Mathematics, 1468 0075-8434 ; .
- Lecture Notes in Mathematics, 1468 .
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.
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.
9783540473701
10.1007/BFb0086186 doi
Mathematics.
Geometry, algebraic.
Global differential geometry.
Mathematics.
Differential Geometry.
Algebraic Geometry.
QA641-670
516.36
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.
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.
9783540473701
10.1007/BFb0086186 doi
Mathematics.
Geometry, algebraic.
Global differential geometry.
Mathematics.
Differential Geometry.
Algebraic Geometry.
QA641-670
516.36