Successive blow-ups of orthogonal and symplectic local models along Schubert strata yield potentially semi-stable integral models for maximal parahoric PEL Shimura varieties, with unipotence of inertia on nearby cycles.
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On semi-stable integral models for Shimura varieties
Successive blow-ups of orthogonal and symplectic local models along Schubert strata yield potentially semi-stable integral models for maximal parahoric PEL Shimura varieties, with unipotence of inertia on nearby cycles.