FLAG TRANSITIVE AFC(N) GEOMETRIES

We consider finite flag-transitive geometries Gamma with Tits-Buekenho ut diagram of type Af.C-n. We prove that if n > 2, then Gamma is a sta ndard quotient of an affine polar space or the so-called Neumaier Geom etry for the alternating group Ag. If n = 2 and point residues are thi ck classical generalized quadrangles, then Gamma is a standard quotien t of an affine polar space.