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

This paper deals with non-Archimedean representations of punctured surfacegroups in PGL(3), associated actions on Euclidean buildings (of type A2), anddegenerations of real convex projective structures on surfaces. The main resultis that, under good conditions on Fock-Goncharov generalized shear parameters,non-Archimedean representations acting on the Euclidean building preserve acocompact weakly convex subspace, which is part flat surface and part tree. Inparticular the eigenvalue and length(s) spectra are given by an explicit finiteA2-complex. We use this result to describe degenerations of real convexprojective structures on surfaces for an open cone of parameters. The main toolis a geometric interpretation of Fock-Goncharov parametrization inA2-buildings.

Invariant subspaces for some surface groups acting on A2-Euclidean buildings