Abstract
G. L. Ebert (1985) constructed ( q n + 1)-caps in PG(2 n − 1, q), n even, which were the orbits of the subgroup of order q n + 1 of a cyclic Singer group of PG(2 n − 1, q). This article shows that these caps are the intersection of n − 1 linearly independent elliptic quadrics of PG(2 n − 1, q).
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