Cubic threefolds moduli and the Monster group
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866910713799245824 |
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| author | Looijenga, Eduard |
| author_facet | Looijenga, Eduard |
| contents | Allcock constructed a 13-dimensional complex ball quotient of which he conjectured that it admits a natural covering with covering group isomorphic to the Bimonster. This ball quotient contains the moduli space of cubic threefolds as an open dense subset of a 10-dimensional complex subball quotient. We prove that this subball quotient has a neighborhood in the Allcock ball quotient over which the conjectured cover exists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20124 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cubic threefolds moduli and the Monster group Looijenga, Eduard Algebraic Geometry Group Theory 14D23, 20D08 Allcock constructed a 13-dimensional complex ball quotient of which he conjectured that it admits a natural covering with covering group isomorphic to the Bimonster. This ball quotient contains the moduli space of cubic threefolds as an open dense subset of a 10-dimensional complex subball quotient. We prove that this subball quotient has a neighborhood in the Allcock ball quotient over which the conjectured cover exists. |
| title | Cubic threefolds moduli and the Monster group |
| topic | Algebraic Geometry Group Theory 14D23, 20D08 |
| url | https://arxiv.org/abs/2310.20124 |