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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the Kolyvagin cup product
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by Amnon Besser PDF
Trans. Amer. Math. Soc. 349 (1997), 4635-4657 Request permission

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.
References
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  • Jan Nekovář, Kolyvagin’s method for Chow groups of Kuga-Sato varieties, Invent. Math. 107 (1992), no. 1, 99–125. MR 1135466, DOI 10.1007/BF01231883
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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
  • MR Author ID: 364540
  • 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
  • © Copyright 1997 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 349 (1997), 4635-4657
  • MSC (1991): Primary 11R34; Secondary 18G15
  • DOI: https://doi.org/10.1090/S0002-9947-97-01777-7
  • MathSciNet review: 1390968