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Read e-book online Analysis and Geometry in Several Complex Variables: PDF

By Gen Komatsu,Masatake Kuranishi

This quantity involves a set 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 was once brought within the examine of advanced research of a number of Variables, there was powerful interplay among complicated research and genuine research, particularly, the idea of Partial Differential Equations. difficulties in advanced Anal­ ysis stimulate the improvement of the PDE idea which consequently could be utilized to complicated research. This interplay consists of Differen­ tial Geometry, for example, through the CR constitution modeled at the triggered constitution at the boundary of a posh manifold. Such buildings are clearly on the topic of the PDE thought. Differential Geometric formalisms are successfully utilized in settling difficulties in advanced research and the consequences enhance the idea of Differential Geometry. This quantity makes a speciality of the latest advancements during this inter­ motion, together with hyperlinks with different fields akin to Algebraic Geometry and Theoretical Physics. Written by way of individuals within the Symposium, this vol­ ume treats numerous points 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 attracted to the recent tendencies during this sector. we want to precise our gratitude to the Taniguchi starting place 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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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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