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Poincaré duality and resonance varieties

Published 6 Sep 2018 in math.AT and math.AC | (1809.01801v3)

Abstract: We explore the constraints imposed by Poincar\'e duality on the resonance varieties of a graded algebra. For a 3-dimensional Poincar\'e duality algebra AA, we obtain a fairly precise geometric description of the resonance varieties R<sup>ik(A)\mathcal{R}<sup>i_k(A).

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