论文标题
非简单阿贝尔表面的退化
Degenerations of non-simple abelian surfaces
论文作者
论文摘要
我们研究了非简单的二极化的阿贝尔表面的退化,以$ \ Mathcal {a} _2 $的环形紧凑型在边界上,并描述了堕落的阿贝尔表面以及生活在其中的退化椭圆形曲线。
We study degenerations of non-simple principally polarized abelian surfaces to the boundary in the toroidal compactification of $\mathcal{A}_2$, and describe the degenerate abelian surfaces as well as the degenerate elliptic curves that live inside them.