Talk:Localized Chern class
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Let c: C ~> X * X be a correspondence with C and X quasi-projective schemes over an algebraically closed field k. We show that if ul: c1*Ql ~>c2!Ql is an action defined by the localized Chern classes of a c 2-perfect complex of vector bundles on C, where ℓ is a prime invertible in k, then the local terms of ul are given by the class of an algebraic cycle independent of ℓ.