Generically nonreduced components of Hilbert schemes on fourfolds
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_openproblems] and answers a question~[Problem~3.8, AIMPL]. The method is similar to the one of~[6, Jelisiejew-Sivic].
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