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 shall show that the Picard number of the generic fiber, in the sense ofscheme, of an abelian fibered hyperk\"ahler manifold over the projective spaceis always one. We then give a few applications for the Mordell-Weil group. Inparticular, by deforming O'Grady's 10-dimensional manifold, we construct anabelian fibered hyperk\"ahler manifold of Mordell-Weil rank 20, which is themaximum possible among all known ones.

Picard number of the generic fiber of an abelian fibered hyperkaehler manifold