Complex Non-Kähler Geometry: Cetraro, Italy 2018

✍ Scribed by Sławomir Dinew, Sebastien Picard, Andrei Teleman, Alberto Verjovsky, Daniele Angella, Leandro Arosio, Eleonora Di Nezza

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 256
• Series: Lecture Notes in Mathematics 2246
• Edition: 1st ed. 2019
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Front Matter ....Pages i-xv
Lectures on Pluripotential Theory on Compact Hermitian Manifolds (Sławomir Dinew)....Pages 1-56
Calabi–Yau Manifolds with Torsion and Geometric Flows (Sébastien Picard)....Pages 57-120
Non-Kählerian Compact Complex Surfaces (Andrei Teleman)....Pages 121-161
Intersection of Quadrics in (\mathbb {C}^n), Moment-Angle Manifolds, Complex Manifolds and Convex Polytopes (Alberto Verjovsky)....Pages 163-240
Back Matter ....Pages 241-242

✦ Subjects

Mathematics; Differential Geometry; Several Complex Variables and Analytic Spaces; Manifolds and Cell Complexes (incl. Diff.Topology)