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On wonderful compactifications of SL(2,š”½) for non-Archimedean local fields š”½

Abstract We compute the wonderful compactification of symmetric varieties of SL(2,F), where F is a finite field-extension of Qp with p≠2, that comes from either an abstract or an F-involution… Click to show full abstract

Abstract We compute the wonderful compactification of symmetric varieties of SL(2,F), where F is a finite field-extension of Qp with p≠2, that comes from either an abstract or an F-involution of SL(2,F). For each of those wonderful compactifications we find the SL(2,F)-stabilizers of the accumulation points of the corresponding symmetric varieties and show they agree with the Chabauty limits found in an earlier paper by the author and Arielle Leitner from 2023.

Keywords: compactifications non; non archimedean; archimedean local; local fields; wonderful compactifications

Journal Title: Communications in Algebra
Year Published: 2024

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