摘要翻译：
在热带几何学框架中，我们引入了两条平面曲线的结的概念。我们证明了代数结式的热带化可以用来计算两条热带平面曲线的稳定交点。结果表明，对于一个代数框架的曲线的两个泛型前像，它们的交点精确地投射到曲线的稳定交点上。利用曲线定义方程的代数系数的残差系数，给出了这种通用性的充分条件。
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英文标题：
《Tropical Resultants for Curves and Stable Intersection》
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作者：
Luis Felipe Tabera
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最新提交年份：
2008
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分类信息：

一级分类：Mathematics        数学
二级分类：Algebraic Geometry        代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
  We introduce the notion of resultant of two planar curves in the tropical geometry framework. We prove that the tropicalization of the algebraic resultant can be used to compute the stable intersection of two tropical plane curves. It is shown that, for two generic preimages of the curves to an algebraic framework, their intersection projects exactly onto the stable intersection of the curves. It is also given sufficient conditions for such a generality in terms of the residual coefficients of the algebraic coefficients of defining equations of the curves.
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PDF链接：
https://arxiv.org/pdf/0805.1305