论文标题
由等基椭圆形曲线产生的Inose表面的Mordell-Weil晶格
The Mordell-Weil lattice of an Inose surface arising from isogenous elliptic curves
论文作者
论文摘要
具有两个$ II^{*} $纤维的椭圆形K3表面称为Inose表面。在本文中，我们提供了一种方法，可以找到对应于两个椭圆曲线之间一般程度的等级程度的Inose表面的有理部分。特别是，我们展示了由5和6的同学产生的inose表面的mordell-weil晶格的示例。
An elliptic K3 surface having two $II^{*}$ fibers is called the Inose surface. In this paper, we give a method to find a rational section of an Inose surface corresponding to an isogeny of general degree between two elliptic curves. In particular, we show examples of bases of the Mordell-Weil lattices of Inose surfaces arising from isogenies of degrees 5 and 6.
