A COMPARISON BETWEEN COHOMOLOGY AND K-THEORY OF WEIGHTED PROJECTIVE SPACES

[摘要] For a weighted projective space P(n) = P(C)n(q0, ..., q(n)), we give a new computation of K0(P(n)) up to a hypothesis on n, q0, ..., q(n). In this case, the two rings K0(P(n)) and H*(P(n), Z) are isomorphic. In the general case, in order that such an isomorphism exist, a condition on the weights is necessary. It is sufficient if n = 3.

[发布日期] 1994-04-29