Overview
- Presents surveys from leading experts in the field of complex geometry
- Provides an up-to-date overview of research topics in the field
- Provides an excellent introduction to the field, aimed at a wide readership
Part of the book series: Lecture Notes in Mathematics (LNM, volume 2246)
Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)
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Table of contents(4 chapters)
About this book
Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds. The school consisted of four courses, focusing on both the construction of non-Kähler manifolds and the understanding of a possible classification of complex non-Kähler manifolds. In particular, the courses by Alberto Verjovsky and Andrei Teleman introduced tools in the theory of foliations and analytic techniques for the classification of compact complex surfaces and compact Kähler manifolds, respectively. The courses by Sebastien Picard and Sławomir Dinew focused on analytic techniques in Hermitian geometry, more precisely, on special Hermitian metrics and geometric flows, and on pluripotential theory in complex non-Kähler geometry.
Authors, Editors and Affiliations
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Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze, Firenze, Italy
Daniele Angella
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Dipartimento di Matematica, Università di Roma Tor Vergata, Roma, Italy
Leandro Arosio
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Sorbonne Université, Paris, France
Eleonora Di Nezza
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Department of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland
Sławomir Dinew
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Harvard University, Cambridge, USA
Sebastien Picard
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Aix-Marseille Université, CNRS, Marseille, France
Andrei Teleman
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Instituto de Matematicas, Unidad Cuernavaca, Universidad Nacional Autónoma, Mexico, Mexico
Alberto Verjovsky
Bibliographic Information
Book Title: Complex Non-Kähler Geometry
Book Subtitle: Cetraro, Italy 2018
Authors: Sławomir Dinew, Sebastien Picard, Andrei Teleman, Alberto Verjovsky
Editors: Daniele Angella, Leandro Arosio, Eleonora Di Nezza
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-030-25883-2
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-25882-5Published: 06 November 2019
eBook ISBN: 978-3-030-25883-2Published: 05 November 2019
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XV, 242
Number of Illustrations: 13 b/w illustrations, 25 illustrations in colour
Topics: Differential Geometry, Several Complex Variables and Analytic Spaces, Manifolds and Cell Complexes (incl. Diff.Topology)