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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove the existence of an Abelian variety $A$ of dimension $g$ over $\Qa$which is not isogenous to any Jacobian, subject to the necessary condition$g>3$. Recently, C.Chai and F.Oort gave such a proof assuming the Andr\'e-Oortconjecture. We modify their proof by constructing a special sequence of CMpoints for which we can avoid any unproven hypotheses. We make use of varioustechniques from the recent work of Klingler-Yafaev et al.

The Existence of an Abelian Variety over the Algebraic Numbers isogenous to no Jacobian