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math.NT2026
On semi-stable integral models for Shimura varieties
Jie Yang, Ioannis Zachos, Zhihao Zhao
We construct (potentially) semi-stable integral models for a class of Shimura varieties with maximal parahoric level at an odd prime . The main input is an explicit construction…
math.NT2026
On -adic integral moduli schemes and local models for PEL type D
Jie Yang, Ioannis Zachos, Zhihao Zhao
We construct flat integral moduli schemes of PEL type D and the corresponding flat orthogonal Rapoport--Zink spaces with parahoric level structure over a -adic integer ring. The…