论文标题
平面曲线相交的热带提升问题
Tropical lifting problem for the intersection of plane curves
论文作者
论文摘要
鉴于在两个热带平面曲线的相交中的热带除数$ d $,我们研究它何时可以实现为两条代数曲线的交点的热带化,并提供足够的条件。我们表明,在涉及这些热带曲线确定的图的某个条件下,我们可以从算法上找到代数曲线,使其相交的热带化为$ d $。
Given a tropical divisor $D$ in the intersection of two tropical plane curves, we study when it can be realized as the tropicalization of the intersection of two algebraic curves, and give a sufficient condition. We show that under a certain condition involving a graph determined by these tropical curves, we can algorithmically find algebraic curves such that the tropicalization of their intersection is $D$.