New PDF release: Analysis and Geometry in Several Complex Variables:

By Gen Komatsu,Masatake Kuranishi

This quantity comprises a suite of articles for the court cases 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 research of advanced 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 complicated Anal­ ysis stimulate the improvement of the PDE idea which consequently will be utilized to complicated research. This interplay contains Differen­ tial Geometry, for example, through the CR constitution modeled at the brought about constitution at the boundary of a fancy manifold. Such constructions are evidently regarding the PDE idea. Differential Geometric formalisms are successfully utilized in settling difficulties in advanced research and the implications improve the idea of Differential Geometry. This quantity specializes in the newest advancements during this inter­ motion, together with hyperlinks with different fields equivalent to Algebraic Geometry and Theoretical Physics. Written via contributors within the Symposium, this vol­ ume treats quite a few elements of CR geometry and the Bergman kernel/ seasoned­ jection, including different significant matters in smooth complicated research. we are hoping that this quantity will function a source for all who're drawn to the hot traits during this quarter. we wish to precise our gratitude to the Taniguchi beginning for beneficiant monetary help and hospitality. we might 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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