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

An elliptic curve $E$ defined over a $p$-adic field $K$ with a $p$-isogeny$\phi:E\rightarrow E^\prime$ comes equipped with an invariant $\alpha_{\phi/K}$that measures the valuation of the leading term of the formal grouphomomorphism $\Phi:\hat E \rightarrow \hat E^\prime$. We prove that if$K/\mathbb{Q}_p$ is unramified and $E$ has additive, potentially supersingularreduction, then $\alpha_{\phi/K}$ is determined by the number of distinctgeometric components on the special fibers of the minimal proper regular modelsof $E$ and $E^\prime$.

On a local invariant of elliptic curves with a p-isogeny