Compactification of the Bruhat-Tits building of PGL by seminorms

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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.
18 pages

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Algebraic Geometry, Group Theory, 20E42, 20G25

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http://salesiana.dossiersoluciones.com/handle/123456789/64904

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0209116
 http://arxiv.org/abs/math/0209116

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arXiv