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- W2963028595 abstract "We compute the cohomology ring of the complement of a toric arrangement with integer coefficients and investigate its dependency from the arrangement's combinatorial data. To this end, we study a morphism of spectral sequences associated to certain combinatorially defined subcomplexes of the toric Salvetti category in the complexified case, and use a technical argument in order to extend the results to full generality. As a byproduct we obtain: a “combinatorial” version of Brieskorn's lemma in terms of Salvetti complexes of complexified arrangements, a uniqueness result for realizations of arithmetic matroids with at least one basis of multiplicity 1." @default.
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- W2963028595 date "2017-06-01" @default.
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- W2963028595 title "The integer cohomology algebra of toric arrangements" @default.
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- W2963028595 doi "https://doi.org/10.1016/j.aim.2017.04.017" @default.
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