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 develop an algorithm that determines, for a given squarefree binary form$F$ with real coefficients, a smallest representative of its orbit under$\operatorname{SL}(2,\mathbb Z)$, either with respect to the Euclidean norm orwith respect to the maximum norm of the coefficient vector. This is based onearlier work of Cremona and Stoll. We then generalize our approach so that italso applies to the problem of finding an integral representative of smallestheight in the $\operatorname{PGL}(2,\mathbb Q)$ conjugacy class of anendomorphism of the projective line. Having a small model of such anendomorphism is useful for various computations.

Smallest representatives of $\operatorname{SL}(2,\mathbb Z)$-orbits of binary forms and endomorphisms of ${\mathbb P}^1$