Suppose $X$ is a projective scheme over $\operatorname{Spec}\mathbb{Z}$. Suppose we know the number of solutions of $X$ mod $p$ for (almost) all prime $p$, can we find out the Betti numbers of the complex manifold associated to $X$?
2026-04-25 07:29:10.1777102150
Number of solutions $\text{mod}\;p$ for all $p$ and Betti numbers
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