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On finite polynomial mappings. (arXiv:1807.05558v1 [math.AG])
来源于:arXiv
Let $X\subset \mathbb{C}^n$ be a smooth irreducible affine variety of
dimension $k$ and let $F: X\to \mathbb{C}^m$ be a polynomial mapping. We prove
that if $m\ge k$, then there is a Zariski open dense subset $U$ in the space of
linear mappings ${\mathcal L}( \mathbb{C}^n, \mathbb{C}^m)$ such that for every
$L\in U$ the mapping $F+L$ is a finite mapping. Moreover, we can choose $U$ in
this way, that all mappings $F+L; L\in U$ are topologically equivalent. 查看全文>>