Timeline for Isomorphism of varieties in $\mathbb{C}$ implies isomorphism over finite fields
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| May 30, 2023 at 19:42 | comment | added | R. van Dobben de Bruyn | @a_g you also need to pick an isomorphism $\psi \colon f^*X \stackrel\sim\to f^*Y$, and that will only exist after a finitely generated extension $f \colon T \to S$. | |
| May 30, 2023 at 16:48 | comment | added | a_g | Thank you very much for your great answer and the counterexamples. I see the obstruction regarding Galois stuff. However, I think I'm missing the point in the first lemma: why just f = id and t = s are not suitable choices? I think I'm not understanding something in the statement... | |
| May 29, 2023 at 15:22 | history | answered | R. van Dobben de Bruyn | CC BY-SA 4.0 |