Intersection Theory of Polymatroids

被引:3
作者
Eur, Christopher [1 ]
Larson, Matt [2 ]
机构
[1] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
[2] Stanford Univ, Dept Math, Stanford, CA 94305 USA
基金
美国国家科学基金会;
关键词
D O I
10.1093/imrn/rnad213
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Polymatroids are combinatorial abstractions of subspace arrangements in the same way that matroids are combinatorial abstractions of hyperplane arrangements. By introducing augmented Chow rings of polymatroids, modeled after augmented wonderful varieties of subspace arrangements, we generalize several algebro-geometric techniques developed in recent years to study matroids. We show that intersection numbers in the augmented Chow ring of a polymatroid are determined by a matching property known as the Hall-Rado condition, which is new even in the case of matroids.
引用
收藏
页码:4207 / 4241
页数:35
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