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Compactification of the Bruhat-Tits building of PGL by seminorms

Annette Werner
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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.

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BibTeXRIS

Annette Werner. 2002-09-11. Compactification of the Bruhat-Tits building of PGL by seminorms. https://arxiv.org/abs/math/0209116

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