gives an orientation, as biholomorphic maps are orientation-preserving).

Examples of complex manifolds

* Riemann surfaces.
* Calabi-Yau manifolds.
* The Cartesian product of two complex manifolds.
* The inverse image of any noncritical value of a holomorphic map.

Smooth complex algebraic varieties

Smooth complex algebraic varieties are complex manifolds, including:

1.Previous
3.Next