The Hilbert polynomial of a symbolic square
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2012
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| _version_ | 1866909214092296192 |
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| author | Slavov, Kaloyan |
| author_facet | Slavov, Kaloyan |
| contents | Let $k$ be an algebraically closed field, and let $C\subset \mathbb{P}^n_k$ be a reduced closed subscheme with ideal sheaf $\mathcal{I}$. Let $\mathcal{I}^{<2>}$ be the second symbolic power of $\mathcal{I}$. When $C$ is an integral curve, we compute the Hilbert polynomial of $\mathcal{O}_{\mathbb{P}^n}/\mathcal{I}^{<2>}$ in terms of invariants of $C$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1208_1109 |
| institution | arXiv |
| publishDate | 2012 |
| record_format | arxiv |
| spellingShingle | The Hilbert polynomial of a symbolic square Slavov, Kaloyan Algebraic Geometry Let $k$ be an algebraically closed field, and let $C\subset \mathbb{P}^n_k$ be a reduced closed subscheme with ideal sheaf $\mathcal{I}$. Let $\mathcal{I}^{<2>}$ be the second symbolic power of $\mathcal{I}$. When $C$ is an integral curve, we compute the Hilbert polynomial of $\mathcal{O}_{\mathbb{P}^n}/\mathcal{I}^{<2>}$ in terms of invariants of $C$. |
| title | The Hilbert polynomial of a symbolic square |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/1208.1109 |