Equiangular lines in Cr (part II)

Abstract 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 tht C P r−1 contains an F-regular subset of n ( r ) points. It is established that n ( r ) ≤ 2 r − 2 for any odd integer r and n (1 + 2 s ) = 2 s +1 for any integer s .