A complex surface is a complex manifold of complex dimension two, meaning that its coordinate
charts take values in open subsets of 
. Its underlying real manifold
has dimension four. Important examples include K3 surfaces
and two-dimensional complex tori.
Complex Surface
See also
Algebraic Surface, Complex Manifold, Complex Torus, K3 SurfaceExplore with Wolfram|Alpha
References
Barth, W. P.; Peters, C. A.; and van de Ven, A. A. Compact Complex Surfaces. New York: Springer-Verlag, 1984.Cite this as:
Weisstein, Eric W. "Complex Surface." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ComplexSurface.html