Multiplicative reduction and the cyclotomic main conjecture for gl2

Christopher Skinner

doi:10.2140/pjm.2016.283.171

Multiplicative reduction and the cyclotomic main conjecture for gl²

Christopher Skinner

Mathematics

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

17 Scopus citations

Abstract

We show that the cyclotomic Iwasawa-Greenberg main conjecture holds for a large class of modular forms with multiplicative reduction at p, extending previous results for the good ordinary case. In fact, the multiplicative case is deduced from the good case through the use of Hida families and a simple Fitting ideal argument.

Original language	English (US)
Pages (from-to)	171-200
Number of pages	30
Journal	Pacific Journal of Mathematics
Volume	283
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2016.283.171
State	Published - 2016

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

Iwasawa theory
Selmer groups
Special values of l-functions

Access to Document

10.2140/pjm.2016.283.171

Cite this

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abstract = "We show that the cyclotomic Iwasawa-Greenberg main conjecture holds for a large class of modular forms with multiplicative reduction at p, extending previous results for the good ordinary case. In fact, the multiplicative case is deduced from the good case through the use of Hida families and a simple Fitting ideal argument.",

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