proper mapping theorem


Theorem.

Let X and Y be complex manifoldsMathworldPlanetmath, f:XY be a proper (http://planetmath.org/ProperMap) holomorphic map, and VX be a complex analytic subvariety of X. Then f(V) is a subvariety of Y.

References

  • 1 Hassler Whitney. . Addison-Wesley, Philippines, 1972.
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