Double-orientations on supersingular isogeny graphs
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908599768317952 |
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| author | Cha, Do Eon Chen, Imin |
| author_facet | Cha, Do Eon Chen, Imin |
| contents | We recall and define various kinds of supersingular $\ell$-isogeny graphs and precise graph isomorphism with a corresponding quaternion $\ell$-ideal graph. In particular, we introduce the notion of double-orientations on supersingular elliptic curves and study the structure of double-oriented supersingular $\ell$-isogeny graphs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15820 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Double-orientations on supersingular isogeny graphs Cha, Do Eon Chen, Imin Number Theory 11G20, 14H52 We recall and define various kinds of supersingular $\ell$-isogeny graphs and precise graph isomorphism with a corresponding quaternion $\ell$-ideal graph. In particular, we introduce the notion of double-orientations on supersingular elliptic curves and study the structure of double-oriented supersingular $\ell$-isogeny graphs. |
| title | Double-orientations on supersingular isogeny graphs |
| topic | Number Theory 11G20, 14H52 |
| url | https://arxiv.org/abs/2510.15820 |