Well-formed weighted projective space
= Well-formed weighted projective space
A <weighted projective space> with positive integer weights $q_0,\ldots,q_n$ is well-formed when the greatest common divisor of the weights with any one weight omitted is one. The quotient <toric lattice> $N=\mathbb Z^{n+1}/\mathbb Z(q_0,\ldots,q_n)$ is free and the images of the coordinate vectors are primitive <toric rays>. Its fan contains the cones on all proper subsets of these rays.