%0 Journal Article %A Cardinali, Ilaria %A Giuzzi, Luca %A Pasini, Antonio %T The relatively universal cover of the natural embedding of the long root geometry for the group $\mathrm{SL}(n+1,\mathbb{K})$ %J Algebraic Combinatorics %D 2026 %P 231-259 %V 9 %N 1 %I The Combinatorics Consortium %U https://alco.centre-mersenne.org/articles/10.5802/alco.473/ %R 10.5802/alco.473 %G en %F ALCO_2026__9_1_231_0