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Complex Geometry - Collection of Papers Dedicated to Hans Grauert (Paperback, Softcover reprint of the original 1st ed. 2002)
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Complex Geometry - Collection of Papers Dedicated to Hans Grauert (Paperback, Softcover reprint of the original 1st ed. 2002)
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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."
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