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).
2019
Pagaria R. (2019). Two examples of toric arrangements. JOURNAL OF COMBINATORIAL THEORY. SERIES A, 167, 389-402 [10.1016/j.jcta.2019.05.006].
Pagaria R.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/709625
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