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This volume features a collection of research papers honoring Hans Grauert on his seventieth birthday. A pioneer in modern complex analysis, Grauert has significantly contributed to the German tradition in function theory of several complex variables, following in the footsteps of notable figures such as Weierstrass, Behnke, Thullen, Stein, and Siegel. Since the early 1950s, when function theory was undergoing a transformative phase and the geometric theory of complex spaces was still developing, Grauert has been instrumental in shaping this field. His collaborative efforts with eminent mathematicians like Oka, Kodaira, Cartan, and Serre, particularly through the Car tan Seminar in Paris and the Kodaira Seminar, have been vital for advancing the theory. Throughout his career, he has mentored numerous doctoral students and young mathematicians globally, establishing a lasting impact on research in several complex variables. His numerous contributions include clarifying complex space concepts, solving the general Levi problem, developing the theory of exceptional analytic sets, establishing the Oka principle for holomorphic bundles, proving the Mordell conjecture for function fields, and formulating the direct image theorem for coherent sheaves.
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Complex geometry, Ingrid Bauer
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- 2002
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