By Gen Komatsu,Masatake Kuranishi

ISBN-10: 1461274419

ISBN-13: 9781461274414

This quantity involves a set of articles for the complaints of the fortieth Taniguchi Symposium research and Geometry in different complicated Variables held in Katata, Japan, on June 23-28, 1997. because the inhomogeneous Cauchy-Riemann equation was once brought within the learn of advanced research of numerous Variables, there was powerful interplay among advanced research and actual research, particularly, the idea of Partial Differential Equations. difficulties in complicated Anal­ ysis stimulate the improvement of the PDE conception which hence should be utilized to advanced research. This interplay includes Differen­ tial Geometry, for example, through the CR constitution modeled at the prompted constitution at the boundary of a posh manifold. Such constructions are certainly concerning the PDE conception. Differential Geometric formalisms are successfully utilized in settling difficulties in complicated research and the consequences enhance the idea of Differential Geometry. This quantity makes a speciality of the newest advancements during this inter­ motion, together with hyperlinks with different fields comparable to Algebraic Geometry and Theoretical Physics. Written via individuals within the Symposium, this vol­ ume treats quite a few features of CR geometry and the Bergman kernel/ seasoned­ jection, including different significant matters in smooth advanced research. we are hoping that this quantity will function a source for all who're drawn to the hot developments during this quarter. we wish to specific our gratitude to the Taniguchi origin for beneficiant monetary aid and hospitality. we might additionally prefer to thank Professor Kiyosi Ito who coordinated the association of the symposium.

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Analysis and Geometry in Several Complex Variables: Proceedings of the 40th Taniguchi Symposium (Trends in Mathematics) by Gen Komatsu,Masatake Kuranishi

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