Compactification of the Bruhat-Tits building of PGL by seminorms
Algebraic Geometry
2007-05-23 v1 Group Theory
Abstract
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.
Cite
@article{arxiv.math/0209116,
title = {Compactification of the Bruhat-Tits building of PGL by seminorms},
author = {Annette Werner},
journal= {arXiv preprint arXiv:math/0209116},
year = {2007}
}
Comments
18 pages