Idoneal genera and K3 surfaces covering an Enriques surface
Algebraic Geometry
2025-04-15 v7 Number Theory
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.
Cite
@article{arxiv.2003.08914,
title = {Idoneal genera and K3 surfaces covering an Enriques surface},
author = {Simon Brandhorst and Serkan Sonel and Davide Cesare Veniani},
journal= {arXiv preprint arXiv:2003.08914},
year = {2025}
}
Comments
final version, accepted on J. Pure Appl. Algebra