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arxiv: 1804.05767 · v3 · pith:MZ7XCOWSnew · submitted 2018-04-16 · 🧮 math.CO · math.AT

Two Examples of Toric Arrangements

classification 🧮 math.CO math.AT
keywords determinedalgebracohomologylayersposettoricarithmeticarrangement
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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 determined by the arithmetic matroid (however it is determined by the poset of layers).

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