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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.00351 |
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| _version_ | 1866918421630812160 |
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| author | Smirnov, Matvey |
| author_facet | Smirnov, Matvey |
| contents | We prove that for any six points on the Riemann sphere there exist three disjoint closed (or open) discs, each of which contains exactly two of the six distinguished points. This statement shows that recently proposed method to numerically evaluate Kleinian hyperelliptic functions of genus 2 is applicable to any complex curve of genus 2. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00351 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Any six points on the Riemann sphere can be split into three pairs by a triple of disjoint discs Smirnov, Matvey Complex Variables Metric Geometry We prove that for any six points on the Riemann sphere there exist three disjoint closed (or open) discs, each of which contains exactly two of the six distinguished points. This statement shows that recently proposed method to numerically evaluate Kleinian hyperelliptic functions of genus 2 is applicable to any complex curve of genus 2. |
| title | Any six points on the Riemann sphere can be split into three pairs by a triple of disjoint discs |
| topic | Complex Variables Metric Geometry |
| url | https://arxiv.org/abs/2604.00351 |