论文标题

关于$ k3 $表面之间的异基因的一些观察

Some observations about isogenies between $K3$ surfaces

论文作者

Bertin, Marie José, Lecacheux, Odile

论文摘要

即使有太多的椭圆纤维进行了调查和描述,并在单数$ k3 $ surface $ y_ {10} $ 72的$ y_ {10} $上,属于apéry-fermi铅笔$(y_k)$,我们在其中发现了许多有趣的属性。例如,其一些带有3扭截面的椭圆形振动诱导了3个椭圆形的椭圆形纤维化$ y_2 $,判别8的独特$ k3 $表面或其他$ k3 $ k3 $ glimiminiminant 72的椭圆形纤维。

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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