Contributions to Several Complex Variables

1. Front Matter

   Pages I-XI

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2. Arithmetic Hilbert Modular Functions Ill

   • Walter L. Baily Jr.

   Pages 1-40

3. The Heat Equation for the \(\overline \partial\)-Neumann Problem on Strictly Pseudoconvex Domains

   • Richard Beals, Nancy K. Stanton

   Pages 41-49

4. Some Examples of the Twistor Construction

   • D. Burns

   Pages 51-67

5. Complete Kähler Domains. A Survey of Some Recent Results

   • Klas Diederich

   Pages 69-87

6. On the Minimality of Hyperplane Sections of Gorenstein Threefolds

   • Maria Lucia Fania, Andrew John Sommese

   Pages 89-113

7. On Meromorphic Equivalence Relations

   • Hans Grauert

   Pages 115-147

8. Recent Developments in Homogeneous CR-Hypersurfaces

   • A. Huckleberry, W. Richthofer

   Pages 149-177

9. Problems of Value Distribution in Complex Analysis for Several Variables

   • P. Lelong

   Pages 179-191

10. On the Boundary Behavior of Holomorphic Mappings

    • László Lempert

    Pages 193-215

11. Integral Geometry of the Monge-Ampère Operator

    • R. Molzon

    Pages 217-226

12. Logarithmic Jet Spaces and Extensions of de Franchis’ Theorem

    • Junjiro Noguchi

    Pages 227-249

13. Remarks on the Nakano Vanishing Theorem

    • Bernard Shiffman

    Pages 251-260

14. Curvature of the Weil-Petersson Metric in the Moduli Space of Compact Kähler-Einstein Manifolds of Negative First Chem Class

    • Yum-Tong Siu

    Pages 261-298

15. Extension Problems and Positive Currents in Complex Analysis

    • H. Skoda

    Pages 299-327

16. On the Uniformization of Parabolic Manifolds

    • Pit-Mann Wong

    Pages 329-353

17. Back Matter

    Pages 355-356

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In 1960 Wilhelm Stoll joined the University of Notre Dame faculty as Professor of Mathematics, and in October, 1984 the university acknowledged his many years of distinguished service by holding a conference in complex analysis in his honour. This volume is the proceedings of that conference. It was our priviledge to serve, along with Nancy K. Stanton, as conference organizers. We are grateful to the College of Science of the University of Notre Dame and to the National Science Foundation for their support. In the course of a career that has included the publication of over sixty research articles and the supervision of eighteen doctoral students, Wilhelm Stoll has won the affection and respect of his colleagues for his diligence, integrity and humaneness. The influence of his ideas and insights and the subsequent investigations they have inspired is attested to by several of the articles in the volume. On behalf of the conference partipants and contributors to this volume, we wish Wilhelm Stoll many more years of happy and devoted service to mathematics. Alan Howard Pit-Mann Wong VII III ~ c: ... ~ c: o U CI> .r. ~ .... o e ::J ~ o a:: a. ::J o ... (.!:J VIII '" Q) g> a. '" Q) E z '" ..... o Q) E Q) ..c eX IX Participants on the Group Picture Qi-keng LU, Professor, Chinese Academy of Science, Peking, China.

• Complex analysis
• Manifold
• Meromorphic function
• Pseudoconvexity
• arithmetic
• calculus
• equation
• function
• geometry
• theorem
• variable

• Department of Mathematics, University of Notre Dame, Notre Dame, USA

  Alan Howard, Pit-Mann Wong