nLab surface

Context

Manifolds and cobordisms

manifolds and cobordisms

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

Revised on April 3, 2015 11:51:01 by Urs Schreiber (195.113.30.252)