Transactions of the American Mathematical Society

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

Author(s): Kazuhiko Kurano; Paul C. Roberts
Journal: Trans. Amer. Math. Soc. 352 (2000), 3103-3116.
MSC (1991): Primary 13A35, 13D15; Secondary 14C17, 14C35
Posted: February 25, 2000
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The positivity of the Dutta multiplicity of a perfect complex of

-modules of length equal to the dimension of

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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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 13A35, 13D15, 14C17, 14C35

Kazuhiko Kurano
Affiliation: Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji, Tokyo 192-0397, Japan
Email: kurano@comp.metro-u.ac.jp

Paul C. Roberts
Affiliation: Department of Mathematics, University of Utah, Salt Lake City, Utah 84112
Email: roberts@math.utah.edu

DOI: 10.1090/S0002-9947-00-02589-7
PII: S 0002-9947(00)02589-7
Received by editor(s): April 10, 1998
Posted: February 25, 2000
Additional Notes: The first author would like to thank the University of Utah for its invitation during 1997-1998.
Both authors were supported in part through a grant from the National Science Foundation.
Copyright of article: Copyright 2000, American Mathematical Society

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