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PreprintarXiv licencearXiv

Pappas's conjecture on ramified unitary local models

  • Yu Luo
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Abstract

We prove that the wedge local model for a ramified unitary group of signature (r,s) (r>s) at self-dual level is flat when p≥ 2s−1, confirming Pappas's conjecture in this case. The proof first reduces the problem to determining the defining equations of a nilpotent orbit closure of self-adjoint matrices, and then to computing the global sections of the corresponding Kempf resolution. The computation is carried out by reducing to the type A case using the Koszul complex.

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Cite

BibTeXRIS
BibTeX
@misc{luo2026pappass,
  title = {{Pappas's conjecture on ramified unitary local models}},
  author = {Yu Luo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.02602},
  eprint = {2610.02602},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.02602},
}
RIS
TY  - UNPB
TI  - Pappas's conjecture on ramified unitary local models
AU  - Yu Luo
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.02602
UR  - https://arxiv.org/abs/2610.02602
AB  - We prove that the wedge local model for a ramified unitary group of signature (r,s) (r>s) at self-dual level is flat when p≥ 2s−1, confirming Pappas's conjecture in this case. The proof first reduces the problem to determining the defining equations of a nilpotent orbit closure of self-adjoint matrices, and then to computing the global sections of the corresponding Kempf resolution. The computation is carried out by reducing to the type A case using the Koszul complex.
ER  -