Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic 0

Kurano, Kazuhiko; Roberts, Paul

doi:10.1090/S0002-9947-00-02589-7

Adams operations, localized Chern characters, and the positivity of Dutta multiplicity in characteristic $0$
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by Kazuhiko Kurano and Paul C. Roberts PDF

Trans. Amer. Math. Soc. 352 (2000), 3103-3116 Request permission

Abstract:

The positivity of the Dutta multiplicity of a perfect complex of $A$-modules of length equal to the dimension of $A$ and with homology of finite length is proven for homomorphic images of regular local rings containing a field of characteristic zero. The proof uses relations between localized Chern characters and Adams operations.

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