摘要

We derive an adjunction inequality for any smooth, closed, connected, oriented 4-manifold X with b(+) = 1. This inequality depends only on the cohomology algebra and generalizes the inequality of Strle in the case of b(1) = 0. We demonstrate that the inequality is especially powerful when 2 (X) over tilde. + 3 sigma >= 0, where (X) over tilde. is the modified Euler number taking account of the cup product on H-1 (X; Z).