Tropical geometry of Rado matroids
Copyright policy )Tropical geometry of Rado matroids
In this note, we characterize the products of simplicial generators for the Chow ring of a loopless matroid, extending a result of Backman, Eur, and Simpson. We prove that the stable intersection of a collection of tropical hyperplanes centered at the origin with the Bergman fan of a matroid is the Bergman fan of the dual of a certain Rado matroid.
6 pages, 2 figures
- University of Vermont United States
rado matroid, Chow ring, Combinatorial aspects of matroids and geometric lattices, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Combinatorial aspects of tropical varieties, Rado matroid, tropical geometry, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), chow ring, Combinatorial aspects of packing and covering, 05B35 (primary), 52B40, 14T05, 14C17, 14M25, Mathematics
rado matroid, Chow ring, Combinatorial aspects of matroids and geometric lattices, Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry, Combinatorial aspects of tropical varieties, Rado matroid, tropical geometry, QA1-939, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), chow ring, Combinatorial aspects of packing and covering, 05B35 (primary), 52B40, 14T05, 14C17, 14M25, Mathematics
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