Arithmetic matroids, the Tutte polynomial and toric arrangements
作者： Michele D’Adderio , Luca Moci
DOI: 10.1016/J.AIM.2012.09.001
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摘要: Abstract We introduce the notion of an arithmetic matroid whose main example is a list elements finitely generated abelian group. In particular, we study representability its dual, providing extension Gale duality to this setting. Guided by geometry generalized toric arrangements, provide combinatorial interpretation associated Tutte polynomial, which can be seen as generalization Crapo’s formula for classical polynomial.
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