Get Analysis and Geometry in Several Complex Variables: PDF

By Gen Komatsu,Masatake Kuranishi

This quantity contains a suite 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 was once brought within the examine of complicated research of a number of Variables, there was robust interplay among complicated research and actual research, specifically, the idea of Partial Differential Equations. difficulties in complicated Anal­ ysis stimulate the improvement of the PDE thought which accordingly might be utilized to advanced research. This interplay comprises Differen­ tial Geometry, for example, through the CR constitution modeled at the brought about constitution at the boundary of a posh manifold. Such constructions are evidently regarding the PDE thought. Differential Geometric formalisms are successfully utilized in settling difficulties in complicated research and the consequences improve the speculation of Differential Geometry. This quantity makes a speciality of the latest advancements during this inter­ motion, together with hyperlinks with different fields similar to Algebraic Geometry and Theoretical Physics. Written through members within the Symposium, this vol­ ume treats a number of elements of CR geometry and the Bergman kernel/ seasoned­ jection, including different significant matters in sleek complicated research. we are hoping that this quantity will function a source for all who're drawn to the hot developments during this sector. we wish to specific our gratitude to the Taniguchi starting place 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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