Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/69160
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DC Field | Value | Language |
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dc.contributor.author | Barwick, S. | - |
dc.contributor.author | Jackson, W. | - |
dc.contributor.author | Quinn, C. | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | Journal of Geometry, 2011; 100(1-2):15-28 | - |
dc.identifier.issn | 0047-2468 | - |
dc.identifier.issn | 1420-8997 | - |
dc.identifier.uri | http://hdl.handle.net/2440/69160 | - |
dc.description.abstract | In 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.statementofresponsibility | S. G. Barwick, Wen-Ai Jackson and Catherine T. Quinn | - |
dc.language.iso | en | - |
dc.publisher | Birkhauser Verlag Ag | - |
dc.rights | © 2011 Springer Basel AG | - |
dc.source.uri | http://dx.doi.org/10.1007/s00022-011-0077-z | - |
dc.title | Conics and caps | - |
dc.type | Journal article | - |
dc.identifier.doi | 10.1007/s00022-011-0077-z | - |
pubs.publication-status | Published | - |
dc.identifier.orcid | Barwick, S. [0000-0001-9492-0323] | - |
dc.identifier.orcid | Jackson, W. [0000-0002-0894-0916] | - |
Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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