Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915899994275840 |
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| author | Billi, Simone Bassi, Lucas Li |
| author_facet | Billi, Simone Bassi, Lucas Li |
| contents | We prove that if two very general cubic fourfolds are L-equivalent then they are isomorphic, and we observe that there exist special cubic fourfolds which are L-equivalent but not isomorphic. When the cubic fourfolds are very general in certain Hassett divisors, we prove that if they are L-equivalent then they are also Fourier-Mukai partners. We also provide further examples in support of the fact that L-equivalent hyper-Kähler manifolds should be D-equivalent, as conjectured by Meinsma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds Billi, Simone Bassi, Lucas Li Algebraic Geometry 14J42, 14J35, 14F08, 14J10, 14E05 We prove that if two very general cubic fourfolds are L-equivalent then they are isomorphic, and we observe that there exist special cubic fourfolds which are L-equivalent but not isomorphic. When the cubic fourfolds are very general in certain Hassett divisors, we prove that if they are L-equivalent then they are also Fourier-Mukai partners. We also provide further examples in support of the fact that L-equivalent hyper-Kähler manifolds should be D-equivalent, as conjectured by Meinsma. |
| title | Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds |
| topic | Algebraic Geometry 14J42, 14J35, 14F08, 14J10, 14E05 |
| url | https://arxiv.org/abs/2512.01968 |