Analysis and Geometry in Several Complex Variables: by Gen Komatsu,Masatake Kuranishi

By Gen Komatsu,Masatake Kuranishi

This quantity includes a set of articles for the complaints of the fortieth Taniguchi Symposium research and Geometry in numerous advanced Variables held in Katata, Japan, on June 23-28, 1997. because the inhomogeneous Cauchy-Riemann equation used to be brought within the learn of complicated research of numerous Variables, there was robust interplay among complicated research and genuine research, specifically, the idea of Partial Differential Equations. difficulties in advanced Anal­ ysis stimulate the advance of the PDE idea which as a consequence will be utilized to advanced research. This interplay comprises Differen­ tial Geometry, for example, through the CR constitution modeled at the caused constitution at the boundary of a posh manifold. Such buildings are obviously on the topic of the PDE idea. Differential Geometric formalisms are successfully utilized in settling difficulties in complicated research and the consequences enhance the speculation of Differential Geometry. This quantity makes a speciality of the latest advancements during this inter­ motion, together with hyperlinks with different fields reminiscent of Algebraic Geometry and Theoretical Physics. Written through individuals within the Symposium, this vol­ ume treats quite a few facets of CR geometry and the Bergman kernel/ seasoned­ jection, including different significant matters in sleek complicated research. we are hoping that this quantity will function a source for all who're attracted to the recent traits during this sector. we wish to precise our gratitude to the Taniguchi origin for beneficiant monetary aid and hospitality. we'd additionally prefer to thank Professor Kiyosi Ito who coordinated the association of the symposium.

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