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2
votes
Intersection theory on singular varieties by embedding to smooth ones
Welcome to Mathoverflow!
One can not define intersection product on the Chow groups for a singular variety, even when it is embedded as a divisor in a smooth one: see the quadric cone example in Harts …
1
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Accepted
Family of zero dimensional subschemes
Let me try the following argument.
First, as you explain one can reduce the general case to the case when $X$ is a curve $C$, possibly singular and reducible. This is because the preimage of $g(\mat …