A complex torus of complex dimension 
is a quotient space 
, where 
is a lattice generated by
linearly
independent real vectors in 
. 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, 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