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Jan 25, 2022 at 20:44 vote accept Francesco Polizzi
Jan 25, 2022 at 20:10 answer added Nikolas Kuhn timeline score: 5
Jan 25, 2022 at 16:05 comment added Francesco Polizzi @NikolasKuhn: That's nice. Please write the explicit computation as an answer, and I will be glad to accept it.
Jan 25, 2022 at 13:14 comment added Nikolas Kuhn Any ramified base change of a smooth, non-isotrivial fibration should give an example (the Kodaira map being trivial for the ramification points).
Jan 25, 2022 at 13:02 history edited Francesco Polizzi CC BY-SA 4.0
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Jan 25, 2022 at 12:57 comment added Francesco Polizzi @PiotrAchinger: In fact, I checked Kodaira's original reference, and he does prove (by means of a local computation) that the KS-map in his examples is non-zero at every point. So I undeleted and edited the question, asking for examples with KS-map vanishing at some point.
Jan 25, 2022 at 12:55 history edited Francesco Polizzi CC BY-SA 4.0
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Jan 25, 2022 at 12:54 history undeleted Francesco Polizzi
Jan 25, 2022 at 12:37 history deleted Francesco Polizzi via Vote
Jan 25, 2022 at 12:31 comment added Piotr Achinger This is vanishing at a point $y$, not in a neighborhood of $y$. The fact that the derivative a function vanishes at a point does not imply that the function is constant in a neighborhood of that point...
Jan 25, 2022 at 12:26 history asked Francesco Polizzi CC BY-SA 4.0