论文标题
热带和对数地图的通用性
Universality for tropical and logarithmic maps
论文作者
论文摘要
我们证明，每个复曲面的单体都出现在从热带曲线到矫正的地图空间中。随之而来的是，与Artin粉丝的对数地图的空间展现了任意的曲折奇点：对数地图成对的虚拟通用定理。目标级别取决于所选的奇异性：我们表明，7 gon上的圆锥体从未出现在地图上的级别1目标中。我们获得了热带图与仿射空间的相似结果。
We prove that every toric monoid appears in a space of maps from tropical curves to an orthant. It follows that spaces of logarithmic maps to Artin fans exhibit arbitrary toric singularities: a virtual universality theorem for logarithmic maps to pairs. The target rank depends on the chosen singularity: we show that the cone over the 7-gon never appears in a space of maps to a rank 1 target. We obtain similar results for tropical maps to affine space.
