{"total":10,"items":[{"citing_arxiv_id":"2605.18426","ref_index":16,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Classicality for Hilbert modular forms","primary_cat":"math.NT","submitted_at":"2026-05-18T13:58:54+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.03220","ref_index":17,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"p-adic Hodge theory of de Rham local systems, I: Newton polygon and monodromy","primary_cat":"math.NT","submitted_at":"2026-04-03T17:46:27+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Proves relative p-adic monodromy theorem over dense open set and equivalence to Newton polygon constancy near rank-1 points for de Rham local systems, plus extension of conjecture to Newton partition interiors.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2512.21418","ref_index":45,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"A $p$-adic Simpson correspondence for singular rigid-analytic varieties","primary_cat":"math.AG","submitted_at":"2025-12-24T20:45:05+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The category of pro-étale vector bundles on a proper rigid-analytic variety X over C is equivalent to the category of Higgs bundles on the eh-site of X.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2411.17082","ref_index":39,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"A Jacquet-Langlands functor for $p$-adic locally analytic 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controls cohomology and proves compatibility with the semisimple local Langlands correspondence of Fargues-Scholze while establishing torsion vanishing for proper cases.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2403.19771","ref_index":52,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"On a conjecture of Pappas and Rapoport","primary_cat":"math.NT","submitted_at":"2024-03-28T18:47:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Proves the Pappas-Rapoport conjecture on canonical integral models of Hodge-type Shimura varieties with quasi-parahoric level at p, shows uniformization by integral local Shimura varieties, and proves the Kisin-Pappas conjecture on local model diagrams.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2402.12879","ref_index":33,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Deformations of Prismatic Higher $(G,\\mu)$-Displays over Quasi-Syntomic Rings","primary_cat":"math.NT","submitted_at":"2024-02-20T10:16:29+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Proves a deformation theorem for prismatic higher (G,μ)-displays over quasi-syntomic rings, extends p-divisible group classification, and relates the display stack to integral local Shimura varieties.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2402.07135","ref_index":28,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Relative representability and parahoric level structures","primary_cat":"math.NT","submitted_at":"2024-02-11T09:31:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Establishes a representability criterion for v-sheaf modifications of formal schemes and applies it to parahoric level structures on local shtukas, yielding local representability of integral models of local Shimura varieties under hyperspecial levels.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2209.01057","ref_index":35,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"Locally analytic completed cohomology","primary_cat":"math.NT","submitted_at":"2022-08-30T16:11:19+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Computes the geometric Sen operator on arbitrary Shimura varieties via equivariant bundles and the Hodge-Tate period map, yielding rational vanishing of completed cohomology.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2207.07623","ref_index":29,"ref_count":1,"confidence":0.98,"is_internal_anchor":true,"paper_title":"$G$-torsors on perfectoid spaces","primary_cat":"math.AG","submitted_at":"2022-07-15T17:35:04+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"On perfectoid spaces over p-adic fields, étale and v-topological G-torsors coincide for arbitrary rigid analytic groups G, generalizing prior results for Ga and GL_n, with applications to generalized Q_p-representations equaling v-vector bundles.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}