Deformations of isolated cyclic quotient singularities in arbitrary characteristic
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912736384909312 |
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| author | Pfeifer, Matthias |
| author_facet | Pfeifer, Matthias |
| contents | We show that toric surface singularities deform to toric surface singularities - both in equal and mixed characteristic. As an application, we establish Riemenschneiders conjecture that isolated cyclic quotient singularities of any dimension deform to isolated cyclic quotient singularities in equal and mixed characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_23382 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Deformations of isolated cyclic quotient singularities in arbitrary characteristic Pfeifer, Matthias Algebraic Geometry 14J17, 14B07, 14M25, 13A50 We show that toric surface singularities deform to toric surface singularities - both in equal and mixed characteristic. As an application, we establish Riemenschneiders conjecture that isolated cyclic quotient singularities of any dimension deform to isolated cyclic quotient singularities in equal and mixed characteristic. |
| title | Deformations of isolated cyclic quotient singularities in arbitrary characteristic |
| topic | Algebraic Geometry 14J17, 14B07, 14M25, 13A50 |
| url | https://arxiv.org/abs/2511.23382 |