{"total":11,"items":[{"citing_arxiv_id":"2606.31698","ref_index":126,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"Local-global compatibility at $p\\neq\\ell$ for torsion automorphic forms","primary_cat":"math.NT","submitted_at":"2026-06-30T14:08:30+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Proves local-global compatibility at p ≠ ℓ for Scholze's automorphic group determinants, generalizing Varma's result to torsion classes in Betti cohomology via p-adic GL representations with Z_ℓ coefficients.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.22989","ref_index":17,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks","primary_cat":"math.AG","submitted_at":"2026-05-21T19:37:39+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Generalizes positivity theorems of Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles to smooth proper DM stacks admitting projective coarse moduli spaces.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.21024","ref_index":2,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry","primary_cat":"math.AG","submitted_at":"2026-05-20T10:57:40+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Proves equivalence between smoothness of a rigid analytic variety and smoothness of its nuclear sheaves category in a six-functor formalism, relates compact generation to algebraization, and gives an example of a non-atomically generated internally smooth category.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.17922","ref_index":39,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings","primary_cat":"math.AG","submitted_at":"2026-05-18T06:30:19+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.10280","ref_index":129,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"The Galois theory of $G$-spectra and the Burnside ring","primary_cat":"math.AT","submitted_at":"2026-05-11T09:40:10+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"The Galois groupoid of G-spectra is equivalent to the étale fundamental groupoid of the Burnside ring of G.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.09987","ref_index":17,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"Congruences of first syntomic cohomology groups","primary_cat":"math.NT","submitted_at":"2026-05-11T05:01:48+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"For large n, mod p^n reductions of first syntomic cohomology groups of reflexive F-gauges on O_K are isomorphic iff mod p^{2n} reductions of attached Breuil-Kisin modules with G_K-action and Nygaard filtration are isomorphic.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.04696","ref_index":149,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"$\\mathbb{G}_m$-cohomology of $p$-adic Stein spaces","primary_cat":"math.NT","submitted_at":"2026-05-06T09:47:21+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Computes étale Gm-cohomology of p-adic Stein spaces via principal units filtration, p-adic Hodge theory for U-cohomology, and Kummer sequences for Gm/U, with explicit formula applying to Drinfeld upper half space.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.04195","ref_index":80,"ref_count":1,"confidence":0.35,"is_internal_anchor":false,"paper_title":"A new perspective on the rank of Mazur's Eisenstein Hecke algebra","primary_cat":"math.NT","submitted_at":"2026-05-05T18:38:12+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"For primes N and p with N ≡ 1 mod p, the rank r of Mazur's Eisenstein Hecke algebra equals one plus the vanishing order of a mod-p zeta element interpolating L-values at -1 when r is 2 or 3, with a uniform extension to level N² and partial results for higher 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g-theorem for simplicial spheres plus the Ohsugi-Hibi conjecture.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null}],"limit":50,"offset":0}