Complex Non-Kähler Geometry - Cetraro, Italy 2018

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 Slawomir 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. 

List of contents

- Lectures on Pluripotential Theory on Compact Hermitian Manifolds. - Calabi-YauManifolds with Torsion and Geometric Flows. - Non-Kählerian Compact Complex Surfaces. - Intersection of Quadrics in Cn, Moment-Angle Manifolds, Complex Manifolds and Convex Polytopes.

Summary

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. 

Product details

• Authors: S¿awomir Dinew, Slawomi Dinew, Slawomir Dinew, Sławomir Dinew, Sebastie Picard, Sebastien Picard, Andrei Teleman, Alberto Verjovsky
• Assisted by: Daniele Angella (Editor), Leandr Arosio (Editor), Leandro Arosio (Editor), Eleonora Di Nezza (Editor)
• Publisher: Springer, Berlin
• Languages: English
• Product format: Paperback / Softback
• Released: 01.01.2019
• EAN: 9783030258825
• ISBN: 978-3-0-3025882-5
• No. of pages: 242
• Dimensions: 156 mm x 15 mm x 233 mm
• Weight: 406 g
• Illustrations: XV, 242 p. 38 illus., 25 illus. in color.
• Series: Lecture Notes in Mathematics; C.I.M.E. Foundation Subseries
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; B, Mathematics and Statistics, Differential Geometry, Manifolds and Cell Complexes (incl. Diff.Topology), Manifolds (Mathematics), Analytic geometry, Manifolds and Cell Complexes, Complex manifolds, Analytic topology, Complex analysis, complex variables, Functions of complex variables, Several Complex Variables and Analytic Spaces