English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In the late 1990's, R. Coleman and R. Greenberg (independently) asked for aglobal property characterizing those $p$-ordinary cuspidal eigenforms whoseassociated Galois representation becomes decomposable upon restriction to adecomposition group at $p$. It is expected that such $p$-ordinary eigenformsare precisely those with complex multiplication. In this paper, we studyColeman-Greenberg's question using Galois deformation theory. In particular,for $p$-ordinary eigenforms which are congruent to one with complexmultiplication, we prove that the conjectured answer follows from the$p$-indivisibility of a certain class group.

Class groups and local indecomposability for non-CM forms