On the kolyvagin cup product

Amnon Besser

doi:10.1090/s0002-9947-97-01777-7

On the kolyvagin cup product

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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.

Original language	English
Pages (from-to)	4635-4657
Number of pages	23
Journal	Transactions of the American Mathematical Society
Volume	349
Issue number	11
DOIs	https://doi.org/10.1090/s0002-9947-97-01777-7
State	Published - 1 Jan 1997
Externally published	Yes

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/s0002-9947-97-01777-7

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On the kolyvagin cup product

Abstract

ASJC Scopus subject areas

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