PreprintarXiv licencearXiv
On the Face Map of the Admissible Set With Parahoric Level
Abstract
To each face ℱ of the coweight polytope 𝒫μ, we associate a subset Adm(μ)ℱ of the μ-admissible set Adm(μ), which we refer to as a face of Adm(μ). This gives rise to a face decomposition of Adm(μ). As an application, we give a complete description of the fibers of the face map |Δ|f defined by Pappas-Rapoport and prove that the face map is surjective.
Related
- Parahoric motivic Hecke categories in equal and mixed characteristic
- Characteristic Functions of Parahoric Character Sheaves
- Jordan-Hölder theory for complementary polyhedra and moduli of parahoric Higgs torsors
- Parahoric Spherical Whittaker Functions
- Fusion rules and rigidity for weight modules over the simple admissible affine sl(2) and N=2 superconformal vertex operator superalgebras
BibTeX
@misc{yu2026face,
title = {{On the Face Map of the Admissible Set With Parahoric Level}},
author = {Qingchao Yu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.15657},
eprint = {2605.15657},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.15657},
}
RIS
TY - UNPB
TI - On the Face Map of the Admissible Set With Parahoric Level
AU - Qingchao Yu
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2605.15657
UR - https://arxiv.org/abs/2605.15657
AB - To each face ℱ of the coweight polytope 𝒫_μ, we associate a subset Adm(μ)_ℱ of the μ-admissible set Adm(μ), which we refer to as a face of Adm(μ). This gives rise to a face decomposition of Adm(μ). As an application, we give a complete description of the fibers of the face map |Δ|^f defined by Pappas-Rapoport and prove that the face map is surjective.
ER -