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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2603.20754 |
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| _version_ | 1866914413024378880 |
|---|---|
| author | Smirnov, Matvey |
| author_facet | Smirnov, Matvey |
| contents | We find an explicit expression for the Richelot isogeny of Kummer surfaces of genus 2 curves in terms of Kleinian hyperelliptic functions of weight 2. We use this expression to relate Kleinian hyperelliptic functions associated to Richelot isogenous curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_20754 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An explicit expression of the Richelot isogeny through Kleinian hyperellyptic functions Smirnov, Matvey Algebraic Geometry Complex Variables We find an explicit expression for the Richelot isogeny of Kummer surfaces of genus 2 curves in terms of Kleinian hyperelliptic functions of weight 2. We use this expression to relate Kleinian hyperelliptic functions associated to Richelot isogenous curves. |
| title | An explicit expression of the Richelot isogeny through Kleinian hyperellyptic functions |
| topic | Algebraic Geometry Complex Variables |
| url | https://arxiv.org/abs/2603.20754 |