Pappas–Rapoport–Smithling topological flatness conjecture for naive local models
Pappas–Rapoport–Smithling topological flatness conjecture for naive local models
Let be a quadratic extension, let be a symmetric space of dimension , and let be non-empty. Let be the naive local model over , whose generic fiber is the orthogonal Grassmannian of maximal totally isotropic -dimensional subspaces of . Pappas–Rapoport–Smithling's topological flatness conjecture. The naive local model is topologically flat. This means that its generic fiber is Zariski dense in ; the supplied source does not specify whether the conjecture is resolved.
Sources & referencesView supporting material
Primary source
Jie Yang, Ioannis Zachos and Zhihao Zhao, “On p-adic integral moduli schemes and local models for PEL type D”, arXiv:2602.23813 (2026).
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