平面上区间的组合学I：拟阵
Combinatorics of intervals in the plane I: trapezoids
摘要：
我们研究了$\mathbb{R}^2$中的区间的排列，其中许多对形成了拟序。我们表明，任何一组的区间形成许多的代数群必须有潜在的代数结构，我们？这导致了一些意想不到的例子，间隔集形成许多类，其中一个重要的作用是由2度曲线。
英文摘要：
We study arrangements of intervals in $\mathbb{R}^2$ for which many pairs form trapezoids. We show that any set of intervals forming many trapezoids must have underlying algebraic structure, which we characterise. This leads to some unexpected examples of sets of intervals forming many trapezoids, where an important role is played by degree 2 curves.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
