Hans Grauert was one of the world's leading mathematicians in the field of Several Complex Variables; he not only shaped the development of this area decisively but was also responsible for some of its most important results. This representative selection of mathematical papers exhibits Grauert's influential research and reflects two decades of excellence. In this edition, each paper has been augmented by a detailed commentary, thus offering a comprehensive survey of the development of this fascinating subject from its beginnings in Münster and Göttingen. Hans Grauert may be regarded as a direct successor of Gauss, holding a chair at Göttingen that before him was held by Siegel, Weyl, Hilbert, Riemann and Gauss.

Autorentext
Hans Grauert studierte in Münster und Zürich, wo er 1958 promovierte. Seit dem 1. Oktober 1959 war er bis zu seiner Emeritierung ordentlicher Professor in Göttingen. Er hatte Gastprofessuren u.a. in Princeton und Paris. Er gilt als einer der bedeutendsten deutschen Mathematiker der Nachkriegszeit. Sein Spezialgebiet ist die Funktionentheorie mehrerer 'Veränderlicher'.

Inhalt
IV. Direct Images.- V. q-Convexity and Cohomology.- VI. Deformation of Complex Objects.- VII. Decomposition of Complex Spaces.- VIII. Special Results.- IX. Commentary on the Non-Archimedean Function Theory.- X. Commentary on Discrete Geometry.- Bibliography.- Acknowledgements.