Moduli of Very Ample Line Bundles
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866909713159946240 |
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| author | Nugent, Brian |
| author_facet | Nugent, Brian |
| contents | Let $X$ be a projective variety over a field. In this paper, we will construct a moduli space of very ample line bundles on $X$. In doing so, we develop a generalization of Fitting ideals to complexes of sheaves on $X$. We give other applications of these Fitting ideals such as constructing Brill-Noether spaces for higher dimensional varieties and giving a scheme structure to the locus where the projective dimension of a module jumps up. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_17689 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Moduli of Very Ample Line Bundles Nugent, Brian Algebraic Geometry Let $X$ be a projective variety over a field. In this paper, we will construct a moduli space of very ample line bundles on $X$. In doing so, we develop a generalization of Fitting ideals to complexes of sheaves on $X$. We give other applications of these Fitting ideals such as constructing Brill-Noether spaces for higher dimensional varieties and giving a scheme structure to the locus where the projective dimension of a module jumps up. |
| title | Moduli of Very Ample Line Bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2405.17689 |