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arXiv · 2610.02602

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 $p\geq 2s-1$, 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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Yu Luo. 2026-10-01. Pappas's conjecture on ramified unitary local models. https://arxiv.org/abs/2610.02602

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