Author： Ebert G.L. Metsch K. Szönyi T.
Publisher： Springer Publishing Company
ISSN： 0046-5755
Source： Geometriae Dedicata, Vol.70, Iss.2, 1998-04, pp. : 181-196
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Abstract
This paper is concerned with constructing caps embedded in line Grassmannians. In particular, we construct a cap of size q^3+2q^2+1 embedded in the Klein quadric of PG(5,q) for even q, and show that any cap maximally embedded in the Klein quadric which is larger than this one must have size equal to the theoretical upper bound, namely q^3+2q^2+q+2. It is not known if caps achieving this upper bound exist for even q > 2.
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