Ingrid Bauer / F. Catanese / Y. Kawamata / Thomas Peternell / Y.-T. Siu (eds.)

Complex Geometry

Collection of Papers Dedicated to Hans Grauert
Herausgegeben:Bauer, Ingrid; Catanese, F.; Kawamata, Y.; Peternell, Thomas; Siu, Y.-T.

• Gebundenes Buch

Produktbeschreibung

This book is a collection of research articles in algebraic geometry and complex analysis dedicated to Hans Grauert. The authors and editors have made their best efforts in order that these contributions should be adequate to honour the outstanding scientist. The volume contains important new results, solutions to longstanding conjectures, elegant new proofs and new perspectives for future research. The topics range from surface theory and commutative algebra, linear systems, moduli spaces, classification theory, Kähler geometry to holomorphic dynamical systems.

---

This volume contains a collection of research papers dedicated to Hans Grauert on the occasion of his seventieth birthday. Hans Grauert is a pioneer in modern complex analysis, continuing the il lustrious German tradition in function theory of several complex variables of Weierstrass, Behnke, Thullen, Stein, Siegel, and many others. When Grauert came on the scene in the early 1950's, function theory was going through a revolutionary period with the geometric theory of complex spaces still in its embryonic stage. A rich theory evolved with the joint efforts of many great mathematicians including Oka, Kodaira, Cartan, and Serre. The Car tan Seminar in Paris and the Kodaira Seminar provided important venues an for its development. Grauert, together with Andreotti and Remmert, took active part in the latter. In his career he has nurtured a great number of his own doctoral students as well as other young mathematicians in his field from allover the world. For a couple of decades his work blazed the trail and set the research agenda in several complex variables worldwide. Among his many fundamentally important contributions, which are too numerous to completely enumerate here, are: 1. The complete clarification of various notions of complex spaces. 2. The solution of the general Levi problem and his work on pseudo convexity for general manifolds. 3. The theory of exceptional analytic sets. 4. The Oka principle for holomorphic bundles. 5. The proof of the Mordell conjecture for function fields. 6. The direct image theorem for coherent sheaves.

Produktdetails

• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-43259-3
• 2002
• Seitenzahl: 340
• Englisch
• Abmessung: 32mm x 158mm x 241mm
• Gewicht: 670g
• ISBN-13: 9783540432593
• ISBN-10: 3540432590
• Artikelnr.: 10613547

Autorenporträt

Ingrid Bauer, University of Bayreuth, Germany / F. Catanese, University of Bayreuth, Germany / Y. Kawamata, University of Tokyo, Japan / Thomas Peternell, University of Bayreuth, Germany / Y.-T. Siu, Harvard University, Cambridge, MA, USA

Inhaltsangabe

From the contents:
- Preface
- W. Barth: Even Sets of Eight Rational Curves on a K3-surface
- T. Bauer et al.: A Reduction Map for Nef Line Bundles
- I. Bauer et al.: Canonical Rings of Surfaces Whose Canonical System has Base Points
- A. Bonifant/J.E. Fornaess: Attractors
- C. Ciliberto/K. Hulek: A Bound on Irregularity of Abelian Scrolls in Projective Space
- J. P. Demailly: On the Frobenius Integrability of Certain Holomorphic p-Forms
- H. Flenner/M. Lübke: Analytic Moduli Spaces of Simple (Co)Framed Sheaves
- A.T. Huckleberry/J.A. Wolf: Cycle Spaces of Real Forms of SLn(C)
- Y. Kawamata: On a Relative Version of Fujita Freeness Conjecture
- S. Kebekus: Characterizing the Projective Space after Cho, Miyaoka and Shepard-Barron
- S. Kebekus et al.: Manifolds With a Nef Rank 1.
- K. Oguiso, D. Zhang: The Simple Group of Order 168 and K3 Surfaces
- T. Ohsawa: A Precise L2 Division Theorem
- S. Schroer/B. Siebert: Irreducible Degenerations of Primary Kodaira Surfaces