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Ovoids and Translation Planes

Ovoids and Translation Planes

An ovoid in an orthogonal vector space V of type Ω + (2 n , q ) or Ω(2 n – 1, q ) is a set Ω of q n –1 + 1 pairwise non-perpendicular singular points. Ovoids probably do not exist when n > 4 (cf. [ 12 …