A nonspecial divisor in the moduli space of cubic fourfolds via 10-nodal plane sextics
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917120488505344 |
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| author | Sammarco, Elena |
| author_facet | Sammarco, Elena |
| contents | In the moduli space $\mathcal{C}$ of complex cubic hypersurfaces $X\subset\mathbb{P}^5$, we study the condition that $X$ admits a net of polar quadrics whose discriminant locus is a $10$-nodal irreducible plane sextic curve. Our main result is that such a condition defines an irreducible divisor in $\mathcal{C}$ which is not of Noether-Lefschetz type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_13187 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A nonspecial divisor in the moduli space of cubic fourfolds via 10-nodal plane sextics Sammarco, Elena Algebraic Geometry In the moduli space $\mathcal{C}$ of complex cubic hypersurfaces $X\subset\mathbb{P}^5$, we study the condition that $X$ admits a net of polar quadrics whose discriminant locus is a $10$-nodal irreducible plane sextic curve. Our main result is that such a condition defines an irreducible divisor in $\mathcal{C}$ which is not of Noether-Lefschetz type. |
| title | A nonspecial divisor in the moduli space of cubic fourfolds via 10-nodal plane sextics |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2505.13187 |