Abstract
Let K be an algebraically closed field of an arbitrary characteristic. In this paper, we show that the Jelonek set of a polynomial generically finite map f : K n → K m (i.e. the set of points at which the map f is not finite) is a K -uniruled variety of pure dimension n - 1 or the empty set. We also give an example that it is not necessarily separably uniruled although the map is separable.
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