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\'Etale Extensions of Unipotent Torsors

math.AG · 2026-05-05 · unverdicted · novelty 7.0

Unipotent torsors over generic points of DVRs in char p extend to normalizations in finite separable extensions, globalizing to ramified covers on curves and yielding isomorphisms of unipotent Nori fundamental group schemes.

Cellular generation revisited

math.CT · 2026-06-09 · unverdicted · novelty 6.0

In locally presentable categories, a morphism class M is cellularly generated if and only if it is almost everywhere quasieffective, with further accessibility characterizations when M is continuous.

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Showing 5 of 5 citing papers after filters.

  • \'Etale Extensions of Unipotent Torsors math.AG · 2026-05-05 · unverdicted · none · ref 11

    Unipotent torsors over generic points of DVRs in char p extend to normalizations in finite separable extensions, globalizing to ramified covers on curves and yielding isomorphisms of unipotent Nori fundamental group schemes.

  • Cellular generation revisited math.CT · 2026-06-09 · unverdicted · none · ref 18

    In locally presentable categories, a morphism class M is cellularly generated if and only if it is almost everywhere quasieffective, with further accessibility characterizations when M is continuous.

  • On the Schematic and Analytic Constructions of the Local Langlands Category math.NT · 2026-06-01 · unverdicted · none · ref 198

    Constructs an equivalence for torsion coefficients between Zhu's category and Fargues-Scholze's category via Scholze's analytification functor and kimberlite theory, with applications to BunG decompositions and local Shimura varieties.

  • K-theory of Gieseker variety and type A cyclotomic Hecke algebra math.AG · 2026-05-12 · unverdicted · none · ref 230

    Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.

  • Birational invariance of higher Amitsur groups math.AG · 2026-05-04 · unverdicted · none · ref 149

    The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.