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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 …
Evgeny Shinder's user avatar
1 vote
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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 …
Evgeny Shinder's user avatar