Key points are not available for this paper at this time.
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.
Joachim Jelisiejew (Fri,) studied this question.