The paper constructs, for every concave-function Bruhat-Tits group scheme over a discrete valuation ring, a unique smooth quasi-projective wonderful embedding whose generic fiber is the classical wonderful compactification, with a toroidal special fiber and a freely generated Picard group.
Intersection cohomology of BˆB-orbit closures in group compactifications
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Wonderful embedding for group schemes in the Bruhat--Tits theory
The paper constructs, for every concave-function Bruhat-Tits group scheme over a discrete valuation ring, a unique smooth quasi-projective wonderful embedding whose generic fiber is the classical wonderful compactification, with a toroidal special fiber and a freely generated Picard group.