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Oct 18, 2011 at 7:22 comment added diverietti In the question of fds (as well as in Francesco's answer and mine) the intersections considered ar not on a curve! They are on the projectivized bundle of a holomorphic vector bundle over a curve!
Oct 18, 2011 at 4:46 comment added Will Sawin Isn't self-intersection on a curve just degree? For instance, because it should be a continuous map to $\mathbb Z$ but the degree-zero line bundles form a connected component? Intersection number is the generalization of the "degree" concept to higher-dimensional varieties?
Oct 17, 2011 at 18:14 history answered diverietti CC BY-SA 3.0