We construct a compactification of the Bruhat-Tits building associated to the group PGL(V) which can be identified with the space of homothety classes of seminorms on V endowed with the topology of pointwise convergence. Then we define a continuous map from the projective space to this compactification which extends the reduction map from Drinfeld's p-adic symmetric domain to the building.
Compactification of the Bruhat-Tits building of PGL by lattices of smaller rank
Models of hypersurfaces and Bruhat-Tits buildings
Two components of the boundary of the compactification of the variety of instantons
![QR code for arXiv:math/0209116 [math.AG]](http://oss.arxitics.com/images/favicon.svg)