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 Tools annual

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 Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In a previous paper, we proved that over a finite field $k$ of sufficientlylarge cardinality, all curves of genus at most 3 over k can be modeled by abivariate Laurent polynomial that is nondegenerate with respect to its Newtonpolytope. In this paper, we prove that there are exactly two curves of genus atmost 3 over a finite field that are not nondegenerate, one over F_2 and oneover F_3. Both of these curves have remarkable extremal properties concerningthe number of rational points over various extension fields.

Nondegenerate curves of low genus over small finite fields