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 give some properties of the subgroup $G_n(\mathbb{C})$ of the group ofbirational self-maps of $\mathbb{P}^n_\mathbb{C}$ generated by the standardinvolution and the group of automorphisms of $\mathbb{P}^n_\mathbb{C}$. Weprove that there is no nontrivial finite-dimensional linear representation of$G_n(\mathbb{C})$. We also establish that $G_n(\mathbb{C})$ is perfect, andthat $G_n(\mathbb{C})$ equipped with the Zariski topology is simple.Furthermore if $\varphi$ is an automorphism of$\mathrm{Bir}(\mathbb{P}^n_\mathbb{C})$, then up to birational conjugacy, andup to the action of a field automorphism $\varphi_{\vert G_n(\mathbb{C})}$ istrivial.

Some properties of the group of birational maps generated by the automorphisms of $\mathbb{P}^n_\mathbb{C}$ and the standard involution