$E_6$-local systems from cubic threefolds
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866908987781283840 |
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| author | Krämer, Thomas Litt, Daniel Maculan, Marco |
| author_facet | Krämer, Thomas Litt, Daniel Maculan, Marco |
| contents | We produce infinitely many local systems on (level covers of) the moduli space of smooth cubic threefolds, with algebraic monodromy group equal to the exceptional group $E_6$. These local systems arise in the middle cohomology of abelian étale covers of the Fano scheme parametrizing lines in the universal cubic threefold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_20970 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $E_6$-local systems from cubic threefolds Krämer, Thomas Litt, Daniel Maculan, Marco Algebraic Geometry 14D05, 14D07, 20G41 We produce infinitely many local systems on (level covers of) the moduli space of smooth cubic threefolds, with algebraic monodromy group equal to the exceptional group $E_6$. These local systems arise in the middle cohomology of abelian étale covers of the Fano scheme parametrizing lines in the universal cubic threefold. |
| title | $E_6$-local systems from cubic threefolds |
| topic | Algebraic Geometry 14D05, 14D07, 20G41 |
| url | https://arxiv.org/abs/2604.20970 |