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Poincar\'e polynomial of elliptic arrangements is not a specialization of the Tutte polynomial

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arxiv 1810.06248 v1 pith:LGS7IYZM submitted 2018-10-15 math.AT

Roberto Pagaria This is my paper · ORCID
classification math.AT
keywords polynomialarrangementstutteellipticpoincarspecializationarrangementarticle
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abstract

The Poincar\'e polynomial of the complement of an arrangements in a non compact group is a specialization of the $G$-Tutte polynomial associated with the arrangement. In this article we show two unimodular elliptic arrangements (built up from two graphs) with the same Tutte polynomial, having different Betti numbers.

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  1. Set of independencies and Tutte polynomial of matroids over a domain

    math.CO 2019-09 conditional novelty 6.0 of 10

    Matroids over a domain admit a Grothendieck-Tutte polynomial with the deletion-contraction property, and the Hilbert series of the associated face module specializes that polynomial.

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