Complex Geometry and Analysis

1. Front Matter

   Pages I-IV

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2. Hyperkähler manifolds

   • Michael Atiyah

   Pages 1-13

3. Affine differential geometry and holomorphic curves

   • Eugenio Calabi

   Pages 15-21

4. The meromorphic continuation of Kloosterman-Selberg zeta functions

   • J. W. Cogdell, I. I. Piatetski-Shapiro

   Pages 23-35

5. Deformation of compact Riemann surfaces Y of genus p with distinguished points P ₁ …, P _m ∈ Y

   • Gerd Dethloff, Hans Grauert

   Pages 37-44

6. On moduli of vector bundles

   • Shoshichi Kobayashi

   Pages 45-57

7. Quasiconformal mappings on CR manifolds

   • Adam Korányi, Hans Martin Reimann

   Pages 59-75

8. On the stability of positive semigroups generated by operator matrices

   • Rainer Nagel

   Pages 77-83

9. The levi problem on algebraic manifolds

   • Raghavan Narasimhan

   Pages 85-91

10. A Banach-Steinhaus theorem for weak and order continuous operators

    • H. H. Schaefer

    Pages 93-100

11. Fixed points of holomorphic mappings

    • Jean-Pierre Vigué

    Pages 101-106

12. Back Matter

    Pages 107-109

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The volume contains the texts of the main talks delivered at the International Symposium on Complex Geometry and Analysis held in Pisa, May 23-27, 1988. The Symposium was organized on the occasion of the sixtieth birthday of Edoardo Vesentini. The aim of the lectures was to describe the present situation, the recent developments and research trends for several relevant topics in the field. The contributions are by distinguished mathematicians who have actively collaborated with the mathematical school in Pisa over the past thirty years.

• Meromorphic function
• Riemann surfaces
• calculus
• differential geometry
• manifold

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