Geodesic
On the coherence conjecture of Pappas and Rapoport
Xinwen Zhu1
1 Department of Mathematics, Northwestern University, Evanston, IL 60208
Annals of mathematics, Tome 180 (2014) no. 1, pp. 1-85 Cet article a éte moissonné depuis la source Annals of Mathematics website

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We prove the (generalized) coherence conjecture proposed by Pappas and Rapoport. As a corollary, one of their theorems, 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 equal characteristic counterparts of the local models.

DOI : 10.4007/annals.2014.180.1.1

Xinwen Zhu 1

1 Department of Mathematics, Northwestern University, Evanston, IL 60208 
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Xinwen Zhu. On the coherence conjecture of Pappas and Rapoport. Annals of mathematics, Tome 180 (2014) no. 1, pp. 1-85. doi: 10.4007/annals.2014.180.1.1

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