Logo

Kähler-Einstein metrics: Old and New

Small book cover: Kähler-Einstein metrics: Old and New

Kähler-Einstein metrics: Old and New
by

Publisher: arXiv.org
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.

Home page url

Download or read it online for free here:
Download link
(700KB, PDF)

Similar books

Book cover: Complex ManifoldsComplex Manifolds
by - Stanford University
From the table of contents: Complex Manifolds; Almost Complex Structures; Differential Forms; Poincare Lemma; Sheaves and Cohomology; Several Complex Variables; Holomorphic Vector Bundles; Kaehler Manifolds; Hodge Theory; Lefschetz Theorems; etc.
(1228 views)
Book cover: Complex Analytic and Differential GeometryComplex Analytic and Differential Geometry
by - 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.
(12166 views)
Book cover: Quantum Physics, Relativity, and Complex SpacetimeQuantum Physics, Relativity, and Complex Spacetime
by - University of Massachusetts at Lowell
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.
(9481 views)
Book cover: Differential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space FormsDifferential Geometry of Indefinite Complex Submanifolds in Indefinite Complex Space Forms
by
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.
(3866 views)