We investigate certain graded-commutative rings which are related to the reciprocal
plane compactification of the coordinate ring of a complement of a hyperplane
arrangement. We give a presentation of these rings by generators and defining
relations. This presentation was used by Holler and I Kriz (2020) to calculate the
–graded coefficients of
localizations of ordinary
–graded
equivariant cohomology at a given set of representation spheres, and also more
recently by the author in a generalization to the case of an arbitrary finite group. We
also give an interpretation of these rings in terms of superschemes, which can be used
to further illuminate their structure.
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