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 a "height-free" effective isogeny estimate for abelian varieties of$\mathrm{GL}_2$-type.  More precisely, let $g\in \mathbb{Z}^+$, $K$ a number field, $S$ a finite setof places of $K$, and $A,B/K$ $g$-dimensional abelian varieties with goodreduction outside $S$ which are $K$-isogenous and of $\mathrm{GL}_2$-type over$\overline{\mathbb{Q}}$. We show that there is a $K$-isogeny $A\to B$ of degreeeffectively bounded in terms of $g$, $K$, and $S$ only.  We deduce among other things an effective upper bound on the number of$S$-integral $K$-points on a Hilbert modular variety.

Un peu d'effectivit\'e pour les vari\'et\'es modulaires de Hilbert-Blumenthal