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arXiv · 1904.01639

Coverings of Configurations, Prime Configurations, and Orbiconfigurations

Benjamin Peet
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Abstract

This exploratory paper considers the notion of a covering of a configuration and $G$-coverings which are coverings that are quotients under a semi-regular group action. We consider prime configurations, those which cannot $G$-cover other configurations, before considering orbiconfigurations. These are a generalized notion of a configuration in the spirit of an orbifold. We derive some specific results as to when configurations are prime as well as considering when an orbiconfiguration is bad - that is, when it cannot be $G$-covered by a configuration. A number of open questions are posited within.

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BibTeXRIS

Benjamin Peet. 2019-04-02. Coverings of Configurations, Prime Configurations, and Orbiconfigurations. https://doi.org/10.15446/recolma.v54n2.93844

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