English

$p$-stabilization in higher dimension

Number Theory 2022-11-14 v1

Abstract

Using ll-adic completed cohomology in the context of Shimura varieties of Kottwitz-Harris-Taylor type attached to some fixed similitude group GG, we prove, allowing to increase the levet at ll, some new automorphic congruences between any degenerate automorphic representation with a non degenerate one of the same weight.

Keywords

Cite

@article{arxiv.1809.01010,
  title  = {$p$-stabilization in higher dimension},
  author = {Pascal Boyer},
  journal= {arXiv preprint arXiv:1809.01010},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:1712.06824

R2 v1 2026-06-23T03:53:49.542Z