nLab
complex geometry

Context

Complex geometry

Analytic geometry

Differential geometry

differential geometry

synthetic differential geometry

Axiomatics

Models

Concepts

Theorems

Applications

Contents

Idea

In complex geometry one studies complex manifolds as a special case of how in general differential geometry one studies more generally smooth manifolds.

In complex analytic geometry one studies, more generally, complex analytic spaces.

Properties

GAGA principle and relation to algebraic geometry

complex analytic geometry is closely related to algebraic geometry over the complex numbers. See at GAGA for more on this.

References

  • Daniel Huybrechts Complex geometry - an introduction. Springer (2004). Universitext. 309 pages. (pdf)

Revised on August 10, 2014 06:29:13 by Urs Schreiber (185.37.147.14)