关于Pappas和Rapoport的相干猜想
On the coherence conjecture of Pappas and Rapoport
摘要：
证明了Pappas和Rapoport的（广义）相干猜想.作为推论，Pappas和Rapoport的一个定理描述了分歧酉群的局部模型的特殊纤维的几何，该定理无条件成立。我们的证明是基于几何学（特别是某些线丛和$\ell$ -adic层）的研究的全球舒伯特品种，这是（广义）相等的特征对应的本地模型。
英文摘要：
We prove the (generalized) coherence conjecture of Pappas and Rapoport. As a corollary, one theorem of Pappas an Rapoport, which describes the geometry of the special fibers of the local models for ramified unitary groups, holds unconditionally. Our proof is based on the study of the geometry (in particular certain line bundles and $\ell$-adic sheaves) of the global Schubert varieties, which are the (generalized) equal characteristic counterparts of the local models.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
