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$K_0$-equivalence of varieties

(Expanding my comments into an answer for more visibility.) By Larsen-Lunts $K_0(\operatorname{Var}_k)/[\mathbb{A}^1]$ is the free abelian group on stable birational equivalence classes. It thus suff …
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3 votes

Secant varieties of curves in $\mathbb{P}^4$

I think the answer is no. Here is an argument. Degenerate your $8$ points so that there are $2$ $5$-tuples that lie in $3$-planes $A,B$. The degree $3$ rational curves through the first $5$-tuple int …
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