On the moduli description of ramified unitary Local models of signature (n-1,1)
Abstract
We give a moduli description for the ramified unitary local model of signature (n-1,1) with any parahoric level structure when the residue field has characteristic not equals 2, confirming a conjecture of Smithling. As applications, we can present moduli descriptions for: (1) ramified unitary Pappas-Zhu local models with any parahoric level; (2) the irreducible components of their special fiber with maximal parahoric level; (3) integral model of ramified unitary Shimura varieties for any (quasi-)parahoric level.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2024
- DOI:
- 10.48550/arXiv.2404.10723
- arXiv:
- arXiv:2404.10723
- Bibcode:
- 2024arXiv240410723L
- Keywords:
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- Mathematics - Algebraic Geometry;
- Mathematics - Number Theory
- E-Print:
- arXiv admin note: text overlap with arXiv:1405.1079 by other authors