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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2309.16562 |
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| _version_ | 1866913652485914624 |
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| author | Jiang, Yunfeng |
| author_facet | Jiang, Yunfeng |
| contents | We provide some results of the smoothing of surface singularities by Looijenga-Wahl and study smoothing of isolated surface singularities induced by equivariant smoothing of locally complete intersection ($\lci$) singularities. We classify the situation where the smoothing of a simple elliptic singularity, a cusp singularity or its cyclic quotient is induced by the equivariant smoothing of the $\lci$ covers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_16562 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Smoothing of surface singularities via equivariant smoothing of lci covers Jiang, Yunfeng Algebraic Geometry We provide some results of the smoothing of surface singularities by Looijenga-Wahl and study smoothing of isolated surface singularities induced by equivariant smoothing of locally complete intersection ($\lci$) singularities. We classify the situation where the smoothing of a simple elliptic singularity, a cusp singularity or its cyclic quotient is induced by the equivariant smoothing of the $\lci$ covers. |
| title | Smoothing of surface singularities via equivariant smoothing of lci covers |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2309.16562 |