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Geometries with dual affine planes and symplectic quadrics

✍ Scribed by Christiane Lefevre-Percsy

Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
446 KB
Volume
42
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

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Let r be a rank 3 incidence geometry of points, lines and planes. This paper classifies all finite geometries r whose planes are affine, whose point residues are dual affine and which satisfy Condition 1: any two points of r are incident with at most one line. Such a geometry is necessarily isomorph

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## Abstract The sporadic complete 12‐arc in PG(2, 13) contains eight points from a conic. In PG(2,__q__) with __q__>13 odd, all known complete __k__‐arcs sharing exactly Β½(__q__+3) points with a conic π’ž have size at most Β½(__q__+3)+2, with only two exceptions, both due to Pellegrino, which are comp