Weyl group of type $E_6$ and K3 surfaces
Algebraic Geometry
2025-01-09 v3 Representation Theory
Abstract
Adapting methods of previous papers by A. Sarti and the author, we construct K3 surfaces from invariants of the Weyl group of type . 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.
Cite
@article{arxiv.2411.12500,
title = {Weyl group of type $E_6$ and K3 surfaces},
author = {Cédric Bonnafé},
journal= {arXiv preprint arXiv:2411.12500},
year = {2025}
}
Comments
48 pages, Magma codes included