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 present an upper bound for the height of the isolated zeros in the torusof a system of Laurent polynomials over an adelic field satisfying the productformula. This upper bound is expressed in terms of the mixed integrals of thelocal roof functions associated to the chosen height function and to the systemof Laurent polynomials. We also show that this bound is close to optimal insome families of examples. This result is an arithmetic analogue of theclassical Bern\v{s}tein-Ku\v{s}nirenko theorem. Its proof is based onarithmetic intersection theory on toric varieties.

An arithmetic Bern\v{s}tein-Ku\v{s}nirenko inequality