By Gen Komatsu,Masatake Kuranishi

This quantity contains a suite 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 used to be brought within the learn of complicated research of a number of Variables, there was robust interplay among advanced research and actual research, particularly, the idea of Partial Differential Equations. difficulties in advanced 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 precipitated constitution at the boundary of a posh manifold. Such buildings are obviously concerning the PDE concept. Differential Geometric formalisms are successfully utilized in settling difficulties in advanced research and the implications increase the idea of Differential Geometry. This quantity makes a speciality of the newest advancements during this inter­ motion, together with hyperlinks with different fields reminiscent of Algebraic Geometry and Theoretical Physics. Written via contributors within the Symposium, this vol­ ume treats a variety of facets of CR geometry and the Bergman kernel/ seasoned­ jection, including different significant topics in smooth advanced research. we are hoping that this quantity will function a source for all who're attracted to the recent tendencies during this zone. we wish to precise our gratitude to the Taniguchi origin for beneficiant monetary aid and hospitality. we'd additionally wish 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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