论文标题
枚举几何形状符合统计,组合和拓扑
Enumerative geometry meets statistics, combinatorics and topology
论文作者
论文摘要
我们解释了几个不相关的数学领域之间的联系:组合学,代数统计,拓扑和枚举代数几何。我们的重点是离散不变的,与洛伦兹多项式理论密切相关。连接提到字段的主要概念是矩阵的线性空间。
We explain connections among several, a priori unrelated, areas of mathematics: combinatorics, algebraic statistics, topology and enumerative algebraic geometry. Our focus is on discrete invariants, strongly related to the theory of Lorentzian polynomials. The main concept joining the mentioned fields is a linear space of matrices.