Kähler-Einstein metrics: Old and New
by Daniele Angella, Cristiano Spotti
Publisher: arXiv.org 2017
Number of pages: 48
Description:
We present classical and recent results on Kaehler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability). These are the notes for the SMI course 'Kaehler-Einstein metrics' given by C.S. in Cortona (Italy), May 2017.
Download or read it online for free here:
Download link
(700KB, PDF)
Similar books
Complex Analytic and Differential Geometryby Jean-Pierre Demailly - Universite de Grenoble
Basic concepts of complex geometry, coherent sheaves and complex analytic spaces, positive currents and potential theory, sheaf cohomology and spectral sequences, Hermitian vector bundles, Hodge theory, positive vector bundles, etc.
(18201 views)
Dynamics in One Complex Variableby John Milnor - Princeton University Press
This text studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the case of rational maps of the Riemann sphere. The book introduces some key ideas in the field, and forms a basis for further study.
(15808 views)
Complex Geometry of Nature and General Relativityby Giampiero Esposito - arXiv
An attempt is made of giving a self-contained introduction to holomorphic ideas in general relativity, following work over the last thirty years by several authors. The main topics are complex manifolds, spinor and twistor methods, heaven spaces.
(16607 views)
Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Formsby Alfonso Romero, Young Jin Suh
From the table of contents: Chapter 1. Linear preliminaries; Chapter 2. Indefinite Kaehler manifolds; Chapter 3. Complex hypersurfaces; Chapter 4. Complex submanifolds; Chapter 5. Totally real bisectional curvature; and more.
(7930 views)