On the coherence conjecture of Pappas and Rapoport

By Xinwen Zhu. 2010

91 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/9714f2f622f9a0e09e002a8536f20c4b654d6081

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Xuhua He
2. Timo Richarz
3. Thomas J. Haines
4. Michael Rapoport
5. S. Nie
6. E. Viehmann

In Mathematical Physics

1. Xuhua He
2. Timo Richarz
3. Thomas J. Haines
4. Michael Rapoport
5. Georgios Pappas
6. Xinwen Zhu
7. E. Viehmann

Citations in the corpus

• Kottwitz-Rapoport conjecture on unions of affine Deligne-Lusztig varieties (2014, methodology): “[21] G. Pappas and X. Zhu, Local models of Shimura varieties and a conjecture of Kottwitz, Invent.”
• The test function conjecture for parahoric local models (2018, methodology): “If F/Qp, we assume G to split over a tamely ramified extension of F , fix a uniformizer ̟ and a spreading G as in Theorem 5.11.”