Approximation of analytic sets with proper projection by algebraic sets

Details Approximation of analytic sets with proper projection by algebraic sets Approximation of analytic sets with proper projection by algebraic sets

2009-05-12

arxiv.org/abs/0905.1881v1

Mathematics

Complex Variables

11 pages

Scientific paper

Let $X$ be an analytic subset of $U\times C^n$ of pure dimension $k$ such
that the projection of $X$ onto $U$ is a proper mapping, where $U$ is a Runge
domain in $C^k$. We show that $X$ can be approximated by algebraic sets.

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