Weyl group of type $E_6$ and K3 surfaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909450874388480 |
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| author | Bonnafé, Cédric |
| author_facet | Bonnafé, Cédric |
| contents | Adapting methods of previous papers by A. Sarti and the author, we construct K3 surfaces from invariants of the Weyl group of type $\Erm_6$. We study in details one of these surfaces, which turns out to have Picard number $20$: for this example, we describe an elliptic fibration (and its singular fibers), the Picard lattice and the transcendental lattice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12500 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weyl group of type $E_6$ and K3 surfaces Bonnafé, Cédric Algebraic Geometry Representation Theory Adapting methods of previous papers by A. Sarti and the author, we construct K3 surfaces from invariants of the Weyl group of type $\Erm_6$. We study in details one of these surfaces, which turns out to have Picard number $20$: for this example, we describe an elliptic fibration (and its singular fibers), the Picard lattice and the transcendental lattice. |
| title | Weyl group of type $E_6$ and K3 surfaces |
| topic | Algebraic Geometry Representation Theory |
| url | https://arxiv.org/abs/2411.12500 |