On the kolyvagin cup product

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)4635-4657
Number of pages23
JournalTransactions of the American Mathematical Society
Issue number11
StatePublished - 1 Jan 1997
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


Dive into the research topics of 'On the kolyvagin cup product'. Together they form a unique fingerprint.

Cite this