The generalised Mukai conjecture for spherical varieties
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909976514002944 |
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| author | Gagliardi, Giuliano Hofscheier, Johannes Pearson, Heath |
| author_facet | Gagliardi, Giuliano Hofscheier, Johannes Pearson, Heath |
| contents | We prove the generalised Mukai conjecture for $\mathbb{Q}$-factorial spherical Fano varieties. In this case, a stronger inequality holds featuring an extra term - the minimum absolute complexity of a log Calabi-Yau pair - which measures how close the Fano variety is to being toric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_21155 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The generalised Mukai conjecture for spherical varieties Gagliardi, Giuliano Hofscheier, Johannes Pearson, Heath Algebraic Geometry 14M27 (Primary) 14J45, 14M25, 14E30 (Secondary) We prove the generalised Mukai conjecture for $\mathbb{Q}$-factorial spherical Fano varieties. In this case, a stronger inequality holds featuring an extra term - the minimum absolute complexity of a log Calabi-Yau pair - which measures how close the Fano variety is to being toric. |
| title | The generalised Mukai conjecture for spherical varieties |
| topic | Algebraic Geometry 14M27 (Primary) 14J45, 14M25, 14E30 (Secondary) |
| url | https://arxiv.org/abs/2502.21155 |