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/

Zendy Plus

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

Zendy Tools

Zendy Open

We give a positive answer to a conjecture by Bhargava, Kane, Lenstra Jr., Poonen and Rains, concerning the cohomology of torsion subgroups of elliptic curves over global fields. This implies that, given a global field   k   and an integer   n  , for    100  %    of elliptic curves   E   defined over   k  , the   n  th Selmer group of   E   is the intersection of two direct summands of the adelic cohomology groupH  1    (  A  ,  E   [  n  ]   )    . We also give examples of elliptic curves for which the conclusion of this conjecture does not hold.

Selmer groups are intersection of two direct summands of the adelic cohomology