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The variety of $\mathbb{C}[t]_{< d}$-points on a variety
(This was posted to https://math.stackexchange.com/q/4244260/799193 where it did not receive an answer.)
Let $X \subseteq \mathbb{C}^n$ be an affine variety defined by $f_i(x_1, \ldots, x_n)=0, 1 \le ...
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