论文标题
通过热带几何形状用于节点曲线的亚伯图
Abel Maps for nodal curves via tropical geometry
论文作者
论文摘要
我们考虑使用ABEL图，以定期平滑结节曲线，并在估算的雅各比脉中具有值。通常，这些地图只是理性的，一个有趣的问题是找到明确的解决方案。我们通过热带和感谢您的几何形状将此问题转化为明确的组合问题。我们表明，组合问题的解决方案产生了ABEL图的明确分辨率。我们能够使用这种技术来构建和研究所有学位的所有亚伯图。
We consider Abel maps for regular smoothing of nodal curves with values in the Esteves compactified Jacobian. In general, these maps are just rational, and an interesting question is to find an explicit resolution. We translate this problem into an explicit combinatorial problem by means of tropical and toric geometry. We show that the solution of the combinatorial problem gives rise to an explicit resolution of the Abel map. We are able to use this technique to construct and study all the Abel maps of degree one.
