By Gen Komatsu,Masatake Kuranishi

ISBN-10: 1461274419

ISBN-13: 9781461274414

This quantity involves a suite of articles for the court cases 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 examine of complicated research of a number of Variables, there was powerful interplay among advanced research and actual research, particularly, the speculation of Partial Differential Equations. difficulties in complicated Anal­ ysis stimulate the advance of the PDE conception which thus will be utilized to advanced research. This interplay contains Differen­ tial Geometry, for example, through the CR constitution modeled at the triggered constitution at the boundary of a posh manifold. Such constructions are evidently concerning the PDE concept. Differential Geometric formalisms are successfully utilized in settling difficulties in complicated research and the consequences improve the speculation of Differential Geometry. This quantity specializes in the newest advancements during this inter­ motion, together with hyperlinks with different fields resembling Algebraic Geometry and Theoretical Physics. Written by way of contributors within the Symposium, this vol­ ume treats a number of points of CR geometry and the Bergman kernel/ seasoned­ jection, including different significant matters in sleek advanced research. we are hoping that this quantity will function a source for all who're attracted to the hot developments during this zone. we wish to precise our gratitude to the Taniguchi beginning for beneficiant monetary help 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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