Truncated Euler systems

Soogil Seo

doi:10.1515/CRELLE.2008.002

Truncated Euler systems

Soogil Seo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

It is known that the order of the class group Cl _K of the real abelian field K is essentially equal to the order of the quotient E _K/C _K of the global units E _K by the circular units C _K of K. However, the structures of these two groups are usually very different. Motivated by the theory of circular distributions and the special units of Rubin, we introducea filtration to E _K made from the so-called truncated Euler systems and conjecture that the associated graded module is isomorphic, as a Galois module, to the class group. We use Euler systems to give evidence for this conjecture.

Original language	English
Pages (from-to)	53-71
Number of pages	19
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	614
DOIs	https://doi.org/10.1515/CRELLE.2008.002
Publication status	Published - 2008 Dec 19

Bibliographical note

Funding Information:
This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD), KRF-2006-331-C00003.

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1515/CRELLE.2008.002

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author = "Soogil Seo",

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ER -

Truncated Euler systems

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

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