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arXiv · 2411.12500

Weyl group of type $E_6$ and K3 surfaces

Cédric Bonnafé
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Abstract

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.

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Cédric Bonnafé. 2024-11-19. Weyl group of type $E_6$ and K3 surfaces. https://arxiv.org/abs/2411.12500

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