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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/2502.16338 |
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| _version_ | 1866916626059755520 |
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| author | Corso, Emilio Hertz, Federico Rodriguez |
| author_facet | Corso, Emilio Hertz, Federico Rodriguez |
| contents | The question of the distribution of shapes of unit lattices in number fields, pioneered by Margulis and Gromov, has lately attracted considerable interest, not least because of the lack of available results. Here we prove that the set of shapes of orders of totally real cubic fields is unbounded in the modular surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16338 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unboundedness of shapes of unit lattices in totally real cubic fields Corso, Emilio Hertz, Federico Rodriguez Number Theory Dynamical Systems The question of the distribution of shapes of unit lattices in number fields, pioneered by Margulis and Gromov, has lately attracted considerable interest, not least because of the lack of available results. Here we prove that the set of shapes of orders of totally real cubic fields is unbounded in the modular surface. |
| title | Unboundedness of shapes of unit lattices in totally real cubic fields |
| topic | Number Theory Dynamical Systems |
| url | https://arxiv.org/abs/2502.16338 |