On wonderful compactifications of SL(2,F) for non-Archimedean local fields F

TY - JOUR

T1 - On wonderful compactifications of SL(2,F) for non-Archimedean local fields F

AU - Ciobotaru, Corina-Gabriela

PY - 2024/2

Y1 - 2024/2

N2 - We compute the wonderful compactification of symmetric varieties of (Formula presented.), where (Formula presented.) is a finite field-extension of (Formula presented.) with (Formula presented.), that comes from either an abstract or an (Formula presented.) -involution of (Formula presented.). For each of those wonderful compactifications we find the (Formula presented.) -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.

AB - We compute the wonderful compactification of symmetric varieties of (Formula presented.), where (Formula presented.) is a finite field-extension of (Formula presented.) with (Formula presented.), that comes from either an abstract or an (Formula presented.) -involution of (Formula presented.). For each of those wonderful compactifications we find the (Formula presented.) -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.

KW - Bruhat–Tits trees

KW - wonderful compactifications

KW - groups over local fields

KW - wonderful compactification

U2 - 10.1080/00927872.2024.2311852

DO - 10.1080/00927872.2024.2311852

M3 - Journal article

SN - 0092-7872

VL - 52

SP - 2965

EP - 2983

JO - Communications in Algebra

JF - Communications in Algebra

IS - 7

ER -