Description
Springer Complex Non-Kahler Geometry Cetraro Italy 2018 2019 Edition by Slawomir Dinew, Sebastien Picard, Andrei Teleman, Alberto Verjovsky
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-Kahler manifolds and the understanding of a possible classification of complex non-Kahler 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 Kahler 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-Kahler geometry. Table of contents : - - Lectures on Pluripotential Theory on Compact Hermitian Manifolds. - Calabi-YauManifolds with Torsion and Geometric Flows. - Non-Kahlerian Compact Complex Surfaces. - Intersection of Quadrics in Cn, Moment-Angle Manifolds, Complex Manifolds and Convex Polytopes.