Berkovich Spaces and Applications by Antoine Ducros Charles Favre & Johannes Nicaise

Author:Antoine Ducros, Charles Favre & Johannes Nicaise
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

( denotes the type of Borel subgroups). Now we consider the composition

We can compactify the building by taking the closure of the image. If denotes the contragradient representation of ρ, then it is shown in [RTW12, 4.8 and 5.3] that in this way we obtain the compactification .

6 Erratum to [RTW10] and [RTW12]

Tobias Schmidt pointed out that Lemma A.10 in Appendix A to [RTW10] needed to be corrected. The problem comes from the fact that, for a finite Galois extension ℓ∕k of non-Archimedean fields, the canonical map

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