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We have constructed intersection classes by intersecting a cone C in a normal bundle N with the zero-section. If Σ m i [C i ] is the cycle of C, the intersection class has a corresponding decomposition into Σ m i α i , α i ∈ A *(Z i ), (Z i )=Supp(C i ). If the bundle N is suitably positive, one can deduce corresponding positivity of the intersection classes, even if the intersections are not proper.
KeywordsVector Bundle Line Bundle Irreducible Component Normal Bundle Exceptional Divisor
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