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Complex Non-Kähler Geometry

Cetraro, Italy 2018

  • Book
  • © 2019

Overview

Authors:
  1. Sławomir Dinew

    1. Department of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland

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  2. Sebastien Picard

    1. Harvard University, Cambridge, USA

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  3. Andrei Teleman

    1. Aix-Marseille Université, CNRS, Marseille, France

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  4. Alberto Verjovsky

    1. Instituto de Matematicas, Unidad Cuernavaca, Universidad Nacional Autónoma, Mexico, Mexico

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Editors:
  1. Daniele Angella

    1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze, Firenze, Italy

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  2. Leandro Arosio

    1. Dipartimento di Matematica, Università di Roma Tor Vergata, Roma, Italy

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  3. Eleonora Di Nezza

    1. Sorbonne Université, Paris, France

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  • 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)

  1. Front Matter

    Pages i-xv
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  2. Lectures on Pluripotential Theory on Compact Hermitian Manifolds

    • Sławomir Dinew
    Pages 1-56

  3. Calabi–Yau Manifolds with Torsion and Geometric Flows

    • Sébastien Picard
    Pages 57-120

  4. Non-Kählerian Compact Complex Surfaces

    • Andrei Teleman
    Pages 121-161

  5. Intersection of Quadrics in \(\mathbb {C}^n\), Moment-Angle Manifolds, Complex Manifolds and Convex Polytopes

    • Alberto Verjovsky
    Pages 163-240

  6. Back Matter

    Pages 241-242
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Keywords

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

  • Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze, Firenze, Italy

    Daniele Angella

  • Dipartimento di Matematica, Università di Roma Tor Vergata, Roma, Italy

    Leandro Arosio

  • Sorbonne Université, Paris, France

    Eleonora Di Nezza

  • Department of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland

    Sławomir Dinew

  • Harvard University, Cambridge, USA

    Sebastien Picard

  • Aix-Marseille Université, CNRS, Marseille, France

    Andrei Teleman

  • Instituto de Matematicas, Unidad Cuernavaca, Universidad Nacional Autónoma, Mexico, Mexico

    Alberto Verjovsky

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