A moduli space of stable sheaves on a cubic threefold
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866929510334595072 |
|---|---|
| author | Ma, Shihao Yang, Song |
| author_facet | Ma, Shihao Yang, Song |
| contents | In this paper, we prove that the moduli space $\overline{M}_{X}(ν)$ of $H$-Gieseker semistable sheaves on a smooth cubic threefold $X$ with Chern character $ν=(4,-H,-\frac{5}{6}H^{2},\frac{1}{6}H^{3})$ is non-empty, smooth and irreducible of dimension $8$. Moreover, we give a set-theoretic description of the moduli space $\overline{M}_{X}(ν)$, which also yields that $\overline{M}_{X}(ν)$ is a birational model of the moduli space of smooth quartic rational curves in $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_10104 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A moduli space of stable sheaves on a cubic threefold Ma, Shihao Yang, Song Algebraic Geometry In this paper, we prove that the moduli space $\overline{M}_{X}(ν)$ of $H$-Gieseker semistable sheaves on a smooth cubic threefold $X$ with Chern character $ν=(4,-H,-\frac{5}{6}H^{2},\frac{1}{6}H^{3})$ is non-empty, smooth and irreducible of dimension $8$. Moreover, we give a set-theoretic description of the moduli space $\overline{M}_{X}(ν)$, which also yields that $\overline{M}_{X}(ν)$ is a birational model of the moduli space of smooth quartic rational curves in $X$. |
| title | A moduli space of stable sheaves on a cubic threefold |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2406.10104 |