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June 28, 2024Open Access

Generically nonreduced components of Hilbert schemes on fourfolds

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Resumen

We exhibit generically nonreduced components of the Hilbert scheme of at least 21 points on a smooth variety of dimension at least four. The result was announced in~Jelisiejew_ₒpenₚroblems and answers a question~Problem~3. 8, AIMPL. The method is similar to the one of~6, Jelisiejew-Sivic.

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Joachim Jelisiejew (Fri,) studied this question.

synapsesocial.com/papers/68e62e92b6db6435875c0657 https://doi.org/https://doi.org/10.48550/arxiv.2406.19782

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Generically nonreduced components of Hilbert schemes on fourfolds | Synapse