Equiangular lines in Cr (part II)

A subset S of a complex projective space is F-regular provided each two points of S have the same non-zero distance and each subset of three points of S has the same shape invariant. The aim of this paper is the determination for any odd integer r, of the largest integer n(r) such that Cpr-1 contains an F-regular subset of n(r) points. It is established that n(r) less than or equal to 2r - 2 for any odd integer r and n(1 + 2(s)) = 2(s+1) for any integer s.