Abstract
We compute the wonderful compactification of symmetric varieties of , where is a finite field-extension of with , that comes from either an abstract or an -involution of . For each of those wonderful compactifications we find the -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.
Acknowledgments
The author would like to thank Aarhus University and Oberwolfach Research Institute for Mathematics for the perfect working conditions they provide, and to Linus Kramer and Maneesh Thakur for very helpful discussions regarding reference [Citation19]. As well, author thanks Arielle Leitner for the wonderful collaboration on our joint paper [Citation7] that gave rise to this article, for reading it and providing useful comments. We also thank the referee for an incredibly job of making many suggestions which greatly improved the clarity and readability of the paper.