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- Title
A proof of the Kudla–Rapoport conjecture for Krämer models.
- Authors
He, Qiao; Li, Chao; Shi, Yousheng; Yang, Tonghai
- Abstract
We prove the Kudla–Rapoport conjecture for Krämer models of unitary Rapoport–Zink spaces at ramified places. It is a precise identity between arithmetic intersection numbers of special cycles on Krämer models and modified derived local densities of hermitian forms. As an application, we relax the local assumptions at ramified places in the arithmetic Siegel–Weil formula for unitary Shimura varieties, which is in particular applicable to unitary Shimura varieties associated to unimodular hermitian lattices over imaginary quadratic fields.
- Subjects
QUADRATIC fields; HERMITIAN forms; INTERSECTION numbers; LOGICAL prediction
- Publication
Inventiones Mathematicae, 2023, Vol 234, Issue 2, p721
- ISSN
0020-9910
- Publication type
Article
- DOI
10.1007/s00222-023-01209-1