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arXiv · 2003.08914

Idoneal genera and K3 surfaces covering an Enriques surface

Simon Brandhorst·Serkan Sonel·Davide Cesare Veniani
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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.

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Simon Brandhorst, Serkan Sonel, Davide Cesare Veniani. 2020-03-19. Idoneal genera and K3 surfaces covering an Enriques surface. https://doi.org/10.1016/j.jpaa.2025.107974

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