Generically nonreduced components of Hilbert schemes on fourfolds
Algebraic Geometry
2024-07-01 v1 Commutative Algebra
Abstract
We exhibit generically nonreduced components of the Hilbert scheme of at least 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].
Cite
@article{arxiv.2406.19782,
title = {Generically nonreduced components of Hilbert schemes on fourfolds},
author = {Joachim Jelisiejew},
journal= {arXiv preprint arXiv:2406.19782},
year = {2024}
}
Comments
Comments welcome! To appear in a special volume of Rendiconti del seminario matematico di Torino dedicated to Gianfranco Casnat