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

In this paper we study convex subcomplexes of spherical buildings. We payspecial attention to fixed point sets of type-preserving isometries ofspherical buildings. This sets are also convex subcomplexes of the naturalpolyhedral structure of the building. We show, among other things, that if thefixed point set is top-dimensional then it is either a subbuilding or it hascircumradius $\leq \frac{\pi}{2}$. If the building is of type $A_n$ or $D_n$,we also show that the same conclusion holds for an arbitrary (top-dimensionalin the $D_n$-case) convex subcomplex. This proves a conjecture of Kleiner-Leebin these cases.

Subcomplexes and fixed point sets of isometries of spherical buildings