Classification Results for Hyperovals of Generalized Quadrangles

A hyperoval of a point-line geometry is a nonempty set of points meeting each line in either 0 or 2 points. We discuss a combination of theoretical and practical techniques that are helpful for classifying hyperovals of generalized quadrangles. These techniques are based on the connection between hy...

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Autor principal: De Bruyn, Bart
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340883/
http://dx.doi.org/10.1007/978-3-030-52200-1_15
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author De Bruyn, Bart
author_facet De Bruyn, Bart
author_sort De Bruyn, Bart
collection PubMed
description A hyperoval of a point-line geometry is a nonempty set of points meeting each line in either 0 or 2 points. We discuss a combination of theoretical and practical techniques that are helpful for classifying hyperovals of generalized quadrangles. These techniques are based on the connection between hyperovals, even sets and pseudo-embeddings of point-line geometries.
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spelling pubmed-73408832020-07-08 Classification Results for Hyperovals of Generalized Quadrangles De Bruyn, Bart Mathematical Software – ICMS 2020 Article A hyperoval of a point-line geometry is a nonempty set of points meeting each line in either 0 or 2 points. We discuss a combination of theoretical and practical techniques that are helpful for classifying hyperovals of generalized quadrangles. These techniques are based on the connection between hyperovals, even sets and pseudo-embeddings of point-line geometries. 2020-06-06 /pmc/articles/PMC7340883/ http://dx.doi.org/10.1007/978-3-030-52200-1_15 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
De Bruyn, Bart
Classification Results for Hyperovals of Generalized Quadrangles
title Classification Results for Hyperovals of Generalized Quadrangles
title_full Classification Results for Hyperovals of Generalized Quadrangles
title_fullStr Classification Results for Hyperovals of Generalized Quadrangles
title_full_unstemmed Classification Results for Hyperovals of Generalized Quadrangles
title_short Classification Results for Hyperovals of Generalized Quadrangles
title_sort classification results for hyperovals of generalized quadrangles
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7340883/
http://dx.doi.org/10.1007/978-3-030-52200-1_15
work_keys_str_mv AT debruynbart classificationresultsforhyperovalsofgeneralizedquadrangles

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