Editors:
- Presents new advances in complex analysis and geometry
- Contains contributions by top researchers in the field
- Features several research problems for the future, including a chapter especially for this purpose
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 144)
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Table of contents (28 papers)
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Front Matter
About this book
This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV). These contributions are based upon their presentations at the 10th Korean Conference on Several Complex Variables (KSCV10), held as a satellite conference to the International Congress of Mathematicians (ICM) 2014 in Seoul, Korea.
SCV has been the term for multidimensional complex analysis, one of the central research areas in mathematics. Studies over time have revealed a variety of rich, intriguing, new knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were "hidden" in the case of complex dimension one. These new theories have significant intersections with algebraic geometry, differential geometry, partial differential equations, dynamics, functional analysis and operator theory, and sheaves and cohomology, as well as the traditional analysis of holomorphic functions in all dimensions.
This book is suitable for a broad audience of mathematicians at and above the beginning graduate-student level. Many chapters pose open-ended problems for further research, and one in particular is devoted to problems for future investigations.
Editors and Affiliations
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Department of Mathematics, Università di Roma Tor Vergata, Rome, Italy
Filippo Bracci
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Dept. of Mathematics Education, Kyungnam University, Changwon, Korea (Republic of)
Jisoo Byun
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Université Joseph Fourier Grenoble, Institut Fourier, Grenoble, France
Hervé Gaussier
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Graduate School of Mathematical Sciences, The University of Tokyo, Meguro-ku, Japan
Kengo Hirachi
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Department of Mathematics, POSTECH, Pohang, Korea (Republic of)
Kang-Tae Kim
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Department of Mathematics, Bergische Universität Wuppertal, Wuppertal, Germany
Nikolay Shcherbina
Bibliographic Information
Book Title: Complex Analysis and Geometry
Book Subtitle: KSCV10, Gyeongju, Korea, August 2014
Editors: Filippo Bracci, Jisoo Byun, Hervé Gaussier, Kengo Hirachi, Kang-Tae Kim, Nikolay Shcherbina
Series Title: Springer Proceedings in Mathematics & Statistics
DOI: https://doi.org/10.1007/978-4-431-55744-9
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Japan 2015
Hardcover ISBN: 978-4-431-55743-2Published: 18 August 2015
Softcover ISBN: 978-4-431-56269-6Published: 23 October 2016
eBook ISBN: 978-4-431-55744-9Published: 05 August 2015
Series ISSN: 2194-1009
Series E-ISSN: 2194-1017
Edition Number: 1
Number of Pages: IX, 377
Number of Illustrations: 10 b/w illustrations, 10 illustrations in colour
Topics: Several Complex Variables and Analytic Spaces, Algebraic Geometry, Functions of a Complex Variable, Differential Geometry