Idoneal genera and K3 surfaces covering an Enriques surface
arXiv:2003.08914 · doi:10.1016/j.jpaa.2025.107974
Abstract
Idoneal genera are a generalization of Euler's idoneal numbers. We enumerate all idoneal genera by means of the Smith--Minkowski--Siegel mass formula. As an application, we classify transcendental lattices of K3 surfaces covering an Enriques surface.
final version, accepted on J. Pure Appl. Algebra