Logo

Complex Manifolds by Julius Ross

Small book cover: Complex Manifolds

Complex Manifolds
by

Publisher: Stanford University
Number of pages: 101

Description:
From the table of contents: Complex Manifolds; Almost Complex Structures; Differential Forms; Poincare Lemma; Sheaves and Cohomology; More on Several Complex Variables; Holomorphic Vector Bundles; Kaehler Manifolds; Hodge Theory; Lefschetz Theorems; Hermitian Vector Bundles.

Download or read it online for free here:
Download link
(540KB, PDF)

Similar books

Book cover: Dynamics in One Complex VariableDynamics in One Complex Variable
by - 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.
(10215 views)
Book cover: Kähler-Einstein metrics: Old and NewKähler-Einstein metrics: Old and New
by - arXiv.org
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 author's course.
(1072 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.
(9567 views)
Book cover: Complex Manifolds and Hermitian Differential GeometryComplex Manifolds and Hermitian Differential Geometry
by - University of Toronto
The intent is not to give a thorough treatment of the algebraic and differential geometry of complex manifolds, but to introduce the reader to material of current interest as quickly as possible. A number of interesting examples is provided.
(7099 views)