A classification of reduction types of curves
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912756137984000 |
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| author | Dokchitser, Tim |
| author_facet | Dokchitser, Tim |
| contents | The aim of this paper is to classify reduction types of algebraic curves. Reduction types capture the discrete invariants of fibres in one-dimensional families of curves, and they have been described in genus 1, 2 and 3. For fixed genus g>1, they form finitely many families, and we explain how to construct them, and introduce a naming convention. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_09082 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A classification of reduction types of curves Dokchitser, Tim Algebraic Geometry Number Theory Primary 11G20, Secondary 11G30, 14H10, 14H20, 14H25 The aim of this paper is to classify reduction types of algebraic curves. Reduction types capture the discrete invariants of fibres in one-dimensional families of curves, and they have been described in genus 1, 2 and 3. For fixed genus g>1, they form finitely many families, and we explain how to construct them, and introduce a naming convention. |
| title | A classification of reduction types of curves |
| topic | Algebraic Geometry Number Theory Primary 11G20, Secondary 11G30, 14H10, 14H20, 14H25 |
| url | https://arxiv.org/abs/2512.09082 |