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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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


Authors: Kazuhiko Kurano and Paul C. Roberts
Journal: Trans. Amer. Math. Soc. 352 (2000), 3103-3116
MSC (1991): Primary 13A35, 13D15; Secondary 14C17, 14C35
Published electronically: February 25, 2000
MathSciNet review: 1707198
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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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Additional Information

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: http://dx.doi.org/10.1090/S0002-9947-00-02589-7
PII: S 0002-9947(00)02589-7
Received by editor(s): April 10, 1998
Published electronically: 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.
Article copyright: © Copyright 2000 American Mathematical Society