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On the Topology of Fibers of Rational Functions

Takeuchi, Kiyoshi
arXiv (All) · Papers
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algebraic-geometry
In 1988 Broughton proved that if a complex polynomial function on ${\mathbb C}^n$ is tame at infinity its fibers are homotopy equivalent to bouquets of some spheres. Since then several basic properties of polynomial functions were studied by many mathematicians in various situations. In this paper,
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