nLab
complex geometry

Idea

In complex geometry one staudies 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.

Related entries

• complex manifold, almost complex manifold

  Kähler manifold, hyper-Kähler manifold

  Calabi-Yau manifold

• Hodge theory

References

• Daniel Huybrechts, Complex Geometry

• Griffiths and Harris, Principles of Algebraic Geometry