Weyl group of type E6 and K3 surfaces
Abstract
Adapting methods of previous papers by A. Sarti and the author, we construct K3 surfaces from invariants of the Weyl group of type 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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