A complex torus of complex dimension 
is a quotient space 
, where 
is a point lattice generated
by 
vectors
in 
that are linearly
independent over 
.
It is a compact manifold with the structure of
a complex manifold. A one-dimensional complex
torus is an elliptic curve over 
.
Complex Torus
See also
Complex Manifold, Elliptic Curve, Lemniscatic Torus, Point Lattice, Quotient Space, TorusExplore with Wolfram|Alpha
References
Voisin, C. Hodge Theory and Complex Algebraic Geometry I. Cambridge, England: Cambridge University Press, 2002.Cite this as:
Weisstein, Eric W. "Complex Torus." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/ComplexTorus.html