Descent of tautological sheaves from Hilbert schemes to Enriques manifolds
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866910369444790272 |
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| author | Reede, Fabian |
| author_facet | Reede, Fabian |
| contents | Let $X$ be a K3 surface which doubly covers an Enriques surface $S$. If $n\in\mathbb{N}$ is an odd number, then the Hilbert scheme of $n$-points $X^{[n]}$ admits a natural quotient $S_{[n]}$. This quotient is an Enriques manifold in the sense of Oguiso and Schröer. In this paper we construct slope stable sheaves on $S_{[n]}$ and study some of their properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_04467 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Descent of tautological sheaves from Hilbert schemes to Enriques manifolds Reede, Fabian Algebraic Geometry Let $X$ be a K3 surface which doubly covers an Enriques surface $S$. If $n\in\mathbb{N}$ is an odd number, then the Hilbert scheme of $n$-points $X^{[n]}$ admits a natural quotient $S_{[n]}$. This quotient is an Enriques manifold in the sense of Oguiso and Schröer. In this paper we construct slope stable sheaves on $S_{[n]}$ and study some of their properties. |
| title | Descent of tautological sheaves from Hilbert schemes to Enriques manifolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2212.04467 |