The embedding of (0, 2)-geometries and semipartial geometries in AG(n, q)

A (0, ?)-geometry, ? ? 3, fully embedded in AG(n, q) is always a linear representation[2]. In [4] the (0, 2)-geometries fully embedded in AG(3, q) are classi?ed up to linear representations. Here we extend this result to full embeddings in AG(n, q). As a corollary we classify the semipartial geometries with ? > 1 fully embedded in AG(n, q), but not as a linear representation.