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arXiv · 2006.16108

Some observations about isogenies between $K3$ surfaces

Marie José Bertin·Odile Lecacheux
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Abstract

Even if there are too many elliptic fibrations to investigate and describe on the singular $K3$ surface $Y_{10}$ of discriminant 72 and belonging to the Apéry-Fermi pencil $(Y_k)$, we find on it many interesting properties. For example some of its elliptic fibrations with 3-torsion section induce by 3-isogeny either an elliptic fibration of $Y_2$, the unique $K3$ surface of discriminant 8, or an elliptic fibration of other $K3$ surfaces of discriminant 72.

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Marie José Bertin, Odile Lecacheux. 2020-06-29. Some observations about isogenies between $K3$ surfaces. https://arxiv.org/abs/2006.16108

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