#### Volume 22, issue 3 (2022)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Subscriptions Submission Guidelines Submission Page Policies for Authors Ethics Statement ISSN (electronic): 1472-2739 ISSN (print): 1472-2747 Author Index To Appear Other MSP Journals
Equivariant cohomology and the super reciprocal plane of a hyperplane arrangement

### Sophie Kriz

Algebraic & Geometric Topology 22 (2022) 991–1015
##### Abstract

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 $ℤ$–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.

##### Keywords
equivariant cohomology, hyperplane arrangements, superschemes
##### Mathematical Subject Classification 2010
Primary: 05E40, 52C35, 55N91
##### Publication
Received: 25 September 2016
Revised: 5 May 2021
Accepted: 19 May 2021
Published: 25 August 2022
##### Authors
 Sophie Kriz Department of Mathematics University of Michigan Ann Arbor, MI United States