Topological flatness of orthogonal spin local models

2025/12/18 by Yang, Jie · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2512.16646

Abstract

Let p be an odd prime and F be a complete discretely valued field with residue field of characteristic p. For any parahoric level structure of the split even orthogonal similitude group GO_2n over F, we prove a preliminary form of the Pappas-Rapoport flatness conjecture: the associated spin local model is topologically flat.

Citations

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Cited by

• On the flatness of spin local models for split even orthogonal groups

Related

• On the flatness of spin local models for split even orthogonal groups
• Topological flatness of orthogonal local models in the split, even case.\n I
• Topological flatness of local models for ramified unitary groups. I. The odd dimensional case
• Topological flatness of local models in the ramified case
• On the flatness of local models for the symplectic group