proper mapping theorem

Theorem.

Let $X$ and $Y$ be complex manifolds, $f\mathrm{:}X\mathrm{\to }Y$ be a proper (http://planetmath.org/ProperMap) holomorphic map, and $V\mathrm{\subset }X$ be a complex analytic subvariety of $X\mathrm{.}$ Then $f\mathit{}\mathrm{(}V\mathrm{)}$ is a subvariety of $Y\mathrm{.}$

Title	proper mapping theorem
Canonical name	ProperMappingTheorem
Date of creation	2013-03-22 17:41:01
Last modified on	2013-03-22 17:41:01
Owner	jirka (4157)
Last modified by	jirka (4157)
Numerical id	4
Author	jirka (4157)
Entry type	Theorem
Classification	msc 32A60
Classification	msc 32A25