EuDML | Browse

We investigate Bruhat-Tits buildings and their compactifications by means of Berkovich analytic geometry over complete non-Archimedean fields. For every reductive group $G$ over a suitable non-Archimedean field $k$ we define a map from the Bruhat-Tits building $ℬ (G, k)$ to the Berkovich analytic space $G^{an}$ associated with $G$ . Composing this map with the projection of $G^{an}$ to its flag varieties, we define a family of compactifications of $ℬ (G, k)$ . This generalizes results by Berkovich in the case of split groups. Moreover,...

Displaying 1 – 10 of 10

Baer-Elation planes

Blocking set nei piani proiettivi

Blocking sets in $P G (2, q)$ for small $p$ , and partial spreads in $P G (3, 7)$ .

Blocking sets of 16 points in projective planes of order 10 - III

Blocking sets of maximal type in finite projective planes

Blocking sets which are preserved by transitive collineation groups.

Bruhat-Tits theory from Berkovich’s point of view. I. Realizations and compactifications of buildings

Building Buildings.

Buildings and non-positively curved polygons of finite groups.

Buildings and shadows.

Currently displaying 1 – 10 of 10