Weyl group of type and K3 surfaces
arXiv:2411.12500
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 : for this example, we describe an elliptic fibration (and its singular fibers), the Picard lattice and the transcendental lattice.
48 pages, Magma codes included