nLab
surface

Contents

Idea

A surface is a space of dimension 2.

In differential geometry this means a 2-dimensional smooth manifold or something thereby parametrized?.

In complex analytic geometry this usually means a complex manifold of complex dimension 2.

Similarly and more generally, in algebraic geometry an algebraic surface is a variety of algebraic dimension 2.

Examples

References

Last revised on May 7, 2017 at 13:54:01. See the history of this page for a list of all contributions to it.