Coverings of Configurations, Prime Configurations, and Orbiconfigurations
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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| Format: | Digital revista |
| Language: | English |
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Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
2020
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| Online Access: | http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262020000200141 |
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