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Generically nonreduced components of Hilbert schemes on fourfolds

Published 28 Jun 2024 in math.AG and math.AC | (2406.19782v1)

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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Authors (1)

  1. Joachim Jelisiejew 

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