Please use this identifier to cite or link to this item: https://hdl.handle.net/2440/69160
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dc.contributor.authorBarwick, S.-
dc.contributor.authorJackson, W.-
dc.contributor.authorQuinn, C.-
dc.date.issued2011-
dc.identifier.citationJournal of Geometry, 2011; 100(1-2):15-28-
dc.identifier.issn0047-2468-
dc.identifier.issn1420-8997-
dc.identifier.urihttp://hdl.handle.net/2440/69160-
dc.description.abstractIn this article, we begin with arcs in PG(2, qⁿ ) and show that they correspond to caps in PG(2n, q) via the André/Bruck–Bose representation of PG(2, qⁿ ) in PG(2n, q). In particular, we show that a conic of PG(2, qⁿ ) that meets ℓ∞ in x points corresponds to a (qⁿ + 1 − x)-cap in PG(2n, q). If x = 0, this cap is the intersection of n quadrics. If x = 1 or 2, this cap is contained in the intersection of n quadrics and we discuss ways of extending these caps. We also investigate the structure of the n quadrics.-
dc.description.statementofresponsibilityS. G. Barwick, Wen-Ai Jackson and Catherine T. Quinn-
dc.language.isoen-
dc.publisherBirkhauser Verlag Ag-
dc.rights© 2011 Springer Basel AG-
dc.source.urihttp://dx.doi.org/10.1007/s00022-011-0077-z-
dc.titleConics and caps-
dc.typeJournal article-
dc.identifier.doi10.1007/s00022-011-0077-z-
pubs.publication-statusPublished-
dc.identifier.orcidBarwick, S. [0000-0001-9492-0323]-
dc.identifier.orcidJackson, W. [0000-0002-0894-0916]-
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Mathematical Sciences publications

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