Ko Aoki

collaborators

5 papers

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 $I^º$ -cofiltered limits for any regular cardinal $I^º$ . Therefore, for every accessible fla…

math.AG2026

Berkovich $2$ -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…

math.CT2025

Higher presentable categories and limits

Ko Aoki

Stefanich generalized the notion of (locally) presentable $(\infty, 1)$ -category to the notion of presentable $(\infty, n)$ -category. We give a new description based on the new not…

math.AG2025

Higher Zariski Geometry

Ko Aoki, Tobias Barthel, Anish Chedalavada +2

We revisit the classical constructions of tensor-triangular geometry in the setting of stably symmetric monoidal idempotent-complete $\infty$ -categories, henceforth referred to as…

math.CT2025

Very Schwartz coidempotents and continuous spectrum

Ko Aoki

We introduce the continuous version of the (unstable) smashing spectrum functor. In the stable case, it assigns to each dualizably symmetric monoidal stable presentable $\infty$ -ca…

Inaccessibility of the flat topology

Berkovich 2-motives and normed ring stacks

Higher presentable categories and limits

Higher Zariski Geometry

Very Schwartz coidempotents and continuous spectrum

Berkovich $2$ -motives and normed ring stacks