Infinitesimal deformations of some quot schemes, II
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910597727125504 |
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| author | Biswas, Indranil Gangopadhyay, Chandranandan Sebastian, Ronnie |
| author_facet | Biswas, Indranil Gangopadhyay, Chandranandan Sebastian, Ronnie |
| contents | Let $C$ be an irreducible smooth complex projective curve of genus $g$, with $g_C \geqslant 2$. Let $E$ be a vector bundle on $C$ of rank $r$, with $r\geqslant 2$. Let $\mc Q:=\mc Q(E,\,d)$ be the Quot Scheme parameterizing torsion quotients of $E$ of degree $d$. We explicitly describe all deformations of $\mc Q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_06434 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Infinitesimal deformations of some quot schemes, II Biswas, Indranil Gangopadhyay, Chandranandan Sebastian, Ronnie Algebraic Geometry Let $C$ be an irreducible smooth complex projective curve of genus $g$, with $g_C \geqslant 2$. Let $E$ be a vector bundle on $C$ of rank $r$, with $r\geqslant 2$. Let $\mc Q:=\mc Q(E,\,d)$ be the Quot Scheme parameterizing torsion quotients of $E$ of degree $d$. We explicitly describe all deformations of $\mc Q$. |
| title | Infinitesimal deformations of some quot schemes, II |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2409.06434 |