Quantum dynamics of elliptic curves
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866911169538686976 |
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| author | Nikolaev, Igor V. |
| author_facet | Nikolaev, Igor V. |
| contents | We calculate K-theory of a crossed product $C^*$-algebra of the noncommutative torus with real multiplication by elliptic curve $\mathscr{E}(K)$ over a number field $K$. This result is used to evaluate the rank and the Shafarevich-Tate group of $\mathscr{E}(K)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1808_03493 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Quantum dynamics of elliptic curves Nikolaev, Igor V. Number Theory Operator Algebras 11G05, 46L85 We calculate K-theory of a crossed product $C^*$-algebra of the noncommutative torus with real multiplication by elliptic curve $\mathscr{E}(K)$ over a number field $K$. This result is used to evaluate the rank and the Shafarevich-Tate group of $\mathscr{E}(K)$. |
| title | Quantum dynamics of elliptic curves |
| topic | Number Theory Operator Algebras 11G05, 46L85 |
| url | https://arxiv.org/abs/1808.03493 |