Irreducibility of moduli of vector bundles over a very general sextic Surface
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866910292123844608 |
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| author | Pal, Sarbeswar |
| author_facet | Pal, Sarbeswar |
| contents | Let $S$ be a very general smooth hypersurface of degree $6$ in $\mathbb{P}^3$. In this paper we will prove that the moduli space of $μ$-stable rank $2$ torsion free sheaves with respect to hyperplane section having $c_1 = \mathcal{O}_S(1)$, with fixed $c_2 \ge 27$ is irreducible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_07036 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Irreducibility of moduli of vector bundles over a very general sextic Surface Pal, Sarbeswar Algebraic Geometry Let $S$ be a very general smooth hypersurface of degree $6$ in $\mathbb{P}^3$. In this paper we will prove that the moduli space of $μ$-stable rank $2$ torsion free sheaves with respect to hyperplane section having $c_1 = \mathcal{O}_S(1)$, with fixed $c_2 \ge 27$ is irreducible. |
| title | Irreducibility of moduli of vector bundles over a very general sextic Surface |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2003.07036 |