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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2512.06936 |
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| _version_ | 1866914185769648128 |
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| author | Larsen, Michael J. Lunts, Valery |
| author_facet | Larsen, Michael J. Lunts, Valery |
| contents | A complex elliptic curve $E$ can be defined as the quotient of the analytic space $\mathbb{C}^*$ by a discrete action of the cyclic group $q^{\mathbb{Z}}$ for $\vert q\vert \neq 1$. We study the boundary case when $\vert q\vert =1$, which leads to the notion of a quantum elliptic curve and a conjectural equivalence of categories that one might call a noncommutative GAGA. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_06936 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Elliptic Curves I: Algebraic Case Larsen, Michael J. Lunts, Valery Algebraic Geometry 14A22 (Primary) 16S35, 14H52 (Secondary) A complex elliptic curve $E$ can be defined as the quotient of the analytic space $\mathbb{C}^*$ by a discrete action of the cyclic group $q^{\mathbb{Z}}$ for $\vert q\vert \neq 1$. We study the boundary case when $\vert q\vert =1$, which leads to the notion of a quantum elliptic curve and a conjectural equivalence of categories that one might call a noncommutative GAGA. |
| title | Quantum Elliptic Curves I: Algebraic Case |
| topic | Algebraic Geometry 14A22 (Primary) 16S35, 14H52 (Secondary) |
| url | https://arxiv.org/abs/2512.06936 |