Gen Komatsu,Masatake Kuranishi's Analysis and Geometry in Several Complex Variables: PDF

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By Gen Komatsu,Masatake Kuranishi

This quantity involves a set of articles for the complaints 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, specifically, the idea of Partial Differential Equations. difficulties in advanced Anal­ ysis stimulate the improvement of the PDE idea which as a consequence might be utilized to complicated 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 buildings are obviously concerning the PDE conception. Differential Geometric formalisms are successfully utilized in settling difficulties in complicated research and the implications enhance the speculation of Differential Geometry. This quantity makes a speciality of the latest advancements during this inter­ motion, together with hyperlinks with different fields resembling Algebraic Geometry and Theoretical Physics. Written via individuals 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 glossy advanced research. we are hoping that this quantity will function a source for all who're drawn to the recent tendencies during this region. we wish to specific our gratitude to the Taniguchi starting place for beneficiant monetary help 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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