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- W971199464 abstract "Let $${c : C rightarrow X times X}$$ be a correspondence with C and X quasi-projective schemes over an algebraically closed field k. We show that if $${u_ell : c_1^*mathbb{Q}_ell rightarrow c_2^!mathbb{Q}_ell}$$ 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 u ℓ are given by the class of an algebraic cycle independent of ℓ. We also prove some related results for quasi-finite correspondences. The proofs are based on the work of Cisinski and Deglise on triangulated categories of motives." @default.
- W971199464 created "2016-06-24" @default.
- W971199464 creator A5004992341 @default.
- W971199464 date "2015-06-30" @default.
- W971199464 modified "2023-10-16" @default.
- W971199464 title "Motivic cohomology, localized Chern classes, and local terms" @default.
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- W971199464 doi "https://doi.org/10.1007/s00229-015-0765-3" @default.
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