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

A family of fractal arrangements of circles is introduced for each imaginaryquadratic field $K$. Collectively, these arrangements contain (up to an affinetransformation) every set of circles in the extended complex plane withintegral curvatures and Zariski dense symmetry group. When that set is a circlepacking, we show how the ambient structure of our arrangement gives a geometriccriterion for satisfying the almost local-global principle. Connections to theclass group of $K$ are also explored. Among them is a geometric property thatguarantees certain ideal classes are group generators.

A geometric study of circle packings and ideal class groups