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  • L² Approaches in Several Complex Variables

    Development of Oka–Cartan Theory by L² Estimates for the d-bar Operator

    par Takeo Ohsawa ...
    Collections series Mathematics and Statistics (R0)
    The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise results on the L² extension of holomorphic functions.In Chapter 1, the classical questions of several complex variables motivating the ... En savoir plus

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  • Analytic Continuation and q-Convexity

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    The focus of this book is on the further development of the classical achievements in analysis of several complex variables, the analytic continuation and the analytic structure of sets, to settings in which the *q-*pseudoconvexity in the sense of Rothstein and the *q-*convexity in the sense of Grauert play a crucial role. After giving a brief survey of notions of generalized convexity and their ... En savoir plus

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  • L² Approaches in Several Complex Variables

    Towards the Oka–Cartan Theory with Precise Bounds

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    Collections series Mathematics and Statistics (R0)
    This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Special emphasis is put on the new precise results on the L² extension of holomorphic functions in the past 5 years.In Chapter 1, the classical questions of several complex variables motivating the ... En savoir plus

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  • Nevanlinna Theory

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    Collections series Mathematics and Statistics (R0)
    This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds. The theory was extended to several variables by S. Kobayashi, T. Ochiai, J. Carleson, and P. Griffiths in the early 1970s. K. Kodaira took up this subject in his course at The University of Tokyo in 1973 and gave ... En savoir plus

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  • The Bergman Kernel and Related Topics

    Hayama Symposium on SCV XXIII, Kanagawa, Japan, July 2022

    Collections series Springer Nature Proceedings excluding Computer Science
    This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman kernel. The symposium took place in Hayama and Tokyo in July 2022. Each article is closely related to the Bergman kernel, covering topics in complex analysis, differential geometry, representation theory, ... En savoir plus

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  • Bousfield Classes and Ohkawa's Theorem

    Nagoya, Japan, August 28-30, 2015

    Modifié par Takeo Ohsawa, Norihiko Minami ...
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    This volume originated in the workshop held at Nagoya University, August 28–30, 2015, focusing on the surprising and mysterious Ohkawa's theorem: the Bousfield classes in the stable homotopy category SH form a set. An inspiring, extensive mathematical story can be narrated starting with Ohkawa's theorem, evolving naturally with a chain of motivational questions:Ohkawa's theorem states that the ... En savoir plus

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