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

 

On the Kolyvagin cup product


Author: Amnon Besser
Journal: Trans. Amer. Math. Soc. 349 (1997), 4635-4657
MSC (1991): Primary 11R34; Secondary 18G15
MathSciNet review: 1390968
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Abstract: We define a new cohomological operation, which we call the Kolyvagin cup product, that is a generalization of the derivative operator introduced by Kolyvagin in his work on Euler systems. We show some of the basic properties of this operation. We also define a higher dimensional derivative in certain cases and a dual operation which we call the Kolyvagin cap product and which generalizes a computation of Rubin.


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Additional Information

Amnon Besser
Affiliation: Department of Mathematics, University of California at Los Angeles, Box 951555, Los Angeles, California 90095-1555
Address at time of publication: Department of Mathematical Sciences, University of Durham, Science Laboratories, South Road, Durham, DH1 3LE, United Kingdom

DOI: http://dx.doi.org/10.1090/S0002-9947-97-01777-7
PII: S 0002-9947(97)01777-7
Received by editor(s): May 16, 1995
Received by editor(s) in revised form: April 11, 1996
Additional Notes: Partially supported by an NSF grant
Article copyright: © Copyright 1997 American Mathematical Society