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.
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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.
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.
Equivariant K-theory of Gieseker spaces is identified with the Jucys-Murphy center of the cyclotomic Hecke algebra.
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
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