Several Complex Variables VII

Sheaf-Theoretical Methods in Complex Analysis
1. Auflage. Softcover version of original hardcover Auflage 1994
ISBN: 978-3-642-08150-7
Verlag: Springer

Buch, Englisch, Band 74, 372 Seiten, Previously published in hardcover, Format (B × H): 152 mm x 229 mm, Gewicht: 555 g

Reihe: Encyclopaedia of Mathematical Sciences

This volume of the Encyclopaedia offers a systematic introduction and a comprehensive survey of the theory of complex spaces. This is an important subject in the theory of several complex variables. Two of the authors, Grauert and Remmert, are internationally known outstanding experts who have developed substantial parts of the field. The authors have written for graduate students and researchers in complex analysis, algebraic geometry and differential geometry. The book will also be a valuable source of information for mathematical physicists.

Zielgruppe

Research

Autoren/Hrsg.

Grauert, H.

Peternell, Thomas

Remmert, R.

Weitere Mitwirkende

Campana, F.

Dethloff, G.

Grauert, H.

Peternell, Thomas

Remmert, R.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

I. Local Theory of Complex Spaces.- II. Differential Calculus, Holomorphic Maps and Linear Structures on Complex Spaces.- III. Cohomology.- IV. Seminormal Complex Spaces.- V. Pseudoconvexity, the Levi Problem and Vanishing Theorems.- VI. Theory of q-Convexity and q-Concavity.- VII. Modifications.- VIII. Cycle Spaces.- IX. Extension of Analytic Objects.- Author Index.