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 Plus annual

Presents the access of premium content as premium feature

Premium Content

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 annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

This article has three goals. First, we generalize the result of Deuring andSerre on the characterization of supersingular locus of modular curves to allShimura varieties given by totally indefinite quaternion algebras over totallyreal number fields. Second, we generalize the result of Ribet on arithmeticlevel raising to such Shimura varieties in the inert case. Third, as anapplication to number theory, we use the previous results to study the Selmergroup of certain triple product motive of an elliptic curve, in the context ofthe Bloch--Kato conjecture.

Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups