We show that the integral cohomology algebra of the complement of a toric arrangement is not determined by the poset of layers. Moreover, the rational cohomology algebra is not determine by the arithmetic matroid (however it is determine by the poset of layers).
Pagaria R. (2019). Two examples of toric arrangements. JOURNAL OF COMBINATORIAL THEORY. SERIES A, 167, 389-402 [10.1016/j.jcta.2019.05.006].
Two examples of toric arrangements
Pagaria R.
2019
Abstract
We show that the integral cohomology algebra of the complement of a toric arrangement is not determined by the poset of layers. Moreover, the rational cohomology algebra is not determine by the arithmetic matroid (however it is determine by the poset of layers).File in questo prodotto:
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