By Ingrid Bauer,F. Catanese,Y. Kawamata,Thomas Peternell,Yum-Tong Siu

This quantity incorporates a number of examine papers devoted to Hans Grauert at the social gathering of his 70th birthday. Hans Grauert is a pioneer in sleek advanced research, carrying on with the il­ lustrious German culture in functionality thought of numerous advanced variables of Weierstrass, Behnke, Thullen, Stein, Siegel, etc. whilst Grauert got here at the scene within the early 1950's, functionality idea was once facing a innovative interval with the geometric concept of complicated areas nonetheless in its embryonic degree. A wealthy concept developed with the joint efforts of many nice mathematicians together with Oka, Kodaira, Cartan, and Serre. the automobile­ tan Seminar in Paris and the Kodaira Seminar supplied vital venues an for its improvement. Grauert, including Andreotti and Remmert, took energetic half within the latter. In his profession he has nurtured various his personal doctoral scholars in addition to different younger mathematicians in his box from allover the area. For a few a long time his paintings blazed the path and set the examine time table in different complicated variables around the globe. between his many essentially vital contributions, that are too various to totally enumerate right here, are: 1. the whole rationalization of varied notions of advanced areas. 2. the answer of the overall Levi challenge and his paintings on pseudo convexity for basic manifolds. three. the idea of remarkable analytic units. four. The Oka precept for holomorphic bundles. five. The facts of the Mordell conjecture for functionality fields. 6. The direct picture theorem for coherent sheaves.

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Complex Geometry: Collection of Papers Dedicated to Hans Grauert by Ingrid Bauer,F. Catanese,Y. Kawamata,Thomas Peternell,Yum-Tong Siu


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