Generically nonreduced components of Hilbert schemes on fourfolds
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866913407325700096 |
|---|---|
| author | Jelisiejew, Joachim |
| author_facet | Jelisiejew, Joachim |
| contents | 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-Šivic]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_19782 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generically nonreduced components of Hilbert schemes on fourfolds Jelisiejew, Joachim Algebraic Geometry Commutative Algebra 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-Šivic]. |
| title | Generically nonreduced components of Hilbert schemes on fourfolds |
| topic | Algebraic Geometry Commutative Algebra |
| url | https://arxiv.org/abs/2406.19782 |