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math.AG2026
Inaccessibility of the flat topology
Ko Aoki, Robert Burklund
We prove that singleton covers in the flat topology on affine schemes are not closed under -cofiltered limits for any regular cardinal . Therefore, for every accessible flat…
math.AG2026
Berkovich -motives and normed ring stacks
Ko Aoki
The de Rham stack construction of Simpson shows that D-modules are quasicoherent sheaves on a modified geometry. Drinfeld furthermore introduced the ring stack perspective (aka tra…