Abstract

PEET, Benjamin. Coverings of Configurations, Prime Configurations, and Orbiconfigurations. Rev.colomb.mat. [online]. 2020, vol.54, n.2, pp.141-160.  Epub Mar 05, 2021. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v54n2.93844.

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.

Keywords : Configuration; covering; orbiconfiguration.

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