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

If $G$ is a finite $\ell$-group acting on an affine space $\mathbb{A}^n$ overa finite field $K$ of cardinality prime to $\ell$, Serre has shown that thereexists a rational fixed point. We generalize this to the case where $K$ is ahenselian discretely valued field of characteristic zero with algebraicallyclosed residue field and with residue characteristic different from $\ell$. Wealso treat the case where the residue field is finite of cardinality $q$ suchthat $\ell$ divides $q-1$. To this aim, we study group actions on weak N\'eronmodels.

Finite group actions, rational fixed points and weak N\'eron models