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arXiv · 2406.19782

Generically nonreduced components of Hilbert schemes on fourfolds

Joachim Jelisiejew
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Abstract

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__open_problems] and answers a question~[Problem~3.8, AIMPL]. The method is similar to the one of~[\S6, Jelisiejew-\v{S}ivic].

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Joachim Jelisiejew. 2024-06-28. Generically nonreduced components of Hilbert schemes on fourfolds. https://arxiv.org/abs/2406.19782

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