a complex line is a one-dimensional affine subspace of a vector space over the complex numbers. A common point of confusion is that while a complex line...

reserved for line integrals in the complex plane. The function to be integrated may be a scalar field or a vector field. The value of the line integral is...

In algebraic geometry, a line complex is a 3-fold given by the intersection of the Grassmannian G(2, 4) (embedded in projective space P5 by Plücker coordinates)...

having a two-point fiber, the unit interval as a fiber, or the real line. Complex line bundles are closely related to circle bundles. There are some celebrated...

of a "complex plane". Complex coordinate space Complex geometry Complex line Constellation diagram Riemann sphere, which is an extended complex plane...

In topology, the complex projective space plays an important role as a classifying space for complex line bundles: families of complex lines parametrized...

structure, one may view the plane as a 1-dimensional complex manifold, called the complex line. Many fundamental tasks in mathematics, geometry, trigonometry...

Bernhard Riemann, is a model of the extended complex plane (also called the closed complex plane): the complex plane plus one point at infinity. This extended...

expressed in terms of complex numbers. For example, the real numbers form the real line, which is pictured as the horizontal axis of the complex plane, while real...

actually copies of the real line), there are generalizations in which the hairs are complex (see the example of the complex hairy ball theorem below),...