论文标题
学位-2 ABEL地图和高质曲线
Degree-2 Abel maps and hyperelleptic curves
论文作者
论文摘要
在本文中，我们解决了淋巴结曲线的第二次ABEL图。我们的结果是基于作者先前的工作，将亚伯图的分辨率问题减少到了通过热带几何形状的组合问题。作为一种应用，我们表征了（对称的）度2度亚abel映射不是注入式的，而对于平滑曲线，该特性与曲线相当于过度纤维化。
In this paper we resolve the degree-2 Abel map for nodal curves. Our results are based on a previous work of the authors reducing the problem of the resolution of the Abel map to a combinatorial problem via tropical geometry. As an application, we characterize when the (symmetrized) degree-2 Abel map is not injective, a property that, for a smooth curve, is equivalent to the curve being hyperelliptic.
