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- W2071133048 abstract "This article studies the largest caps, of cardinality q3+q2+q+1, contained in the Klein quadric of PG(5, q), q odd. Presently, there are three examples of such caps known. They all are the intersection of the Klein quadric with a suitably chosen singular quadric with its vertex a line L and base a non-singular three-dimensional elliptic quadric. In this paper, we show that a (q3+q2+q+1)-cap contained in the Klein quadric of PG(5, q), q odd, q>3138, always is the intersection of the Klein quadric with another quadric, thus showing that such caps are a V43 variety of dimension 3 and of degree 4. This result also implies that a (q3+q2+q+1)-cap contained in the Klein quadric of PG(5, q), q odd, q>3138, defines a quadratic line complex of PG(3, q)." @default.
- W2071133048 created "2016-06-24" @default.
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- W2071133048 date "1999-08-01" @default.
- W2071133048 modified "2023-09-30" @default.
- W2071133048 title "On the Largest Caps Contained in the Klein Quadric of PG(5, q), q Odd" @default.
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- W2071133048 doi "https://doi.org/10.1006/jcta.1999.2987" @default.
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