Hodge-to-de Rham degeneration and quasihomogeneous singularities of curves
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908943869018112 |
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| author | He, Yunfan |
| author_facet | He, Yunfan |
| contents | We study the Hodge-to-de Rham spectral sequence for integral projective curves with local complete intersection singularities. We prove that degeneration at the E2-page is equivalent to requiring every singularity to be a quasihomogeneous plane curve singularity. We also show that, in the same local complete intersection setting, the Hochschild-to-cyclic spectral sequence degenerates at the E2-page if and only if the same condition holds |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_05825 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Hodge-to-de Rham degeneration and quasihomogeneous singularities of curves He, Yunfan Algebraic Geometry 14H20 (primary), 14F40, 13D03, 14B05 (secondary) We study the Hodge-to-de Rham spectral sequence for integral projective curves with local complete intersection singularities. We prove that degeneration at the E2-page is equivalent to requiring every singularity to be a quasihomogeneous plane curve singularity. We also show that, in the same local complete intersection setting, the Hochschild-to-cyclic spectral sequence degenerates at the E2-page if and only if the same condition holds |
| title | Hodge-to-de Rham degeneration and quasihomogeneous singularities of curves |
| topic | Algebraic Geometry 14H20 (primary), 14F40, 13D03, 14B05 (secondary) |
| url | https://arxiv.org/abs/2604.05825 |