Klaus Mattis

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math.AG2025

The derived $\infty$ -category of Frobenius modules

Klaus Mattis, Timo Weiß

We prove that for $X$ a quasi-compact $F_{p}$ -scheme with affine diagonal (e.g.\ $X$ quasi-compact and separated) there is a t-exact equivalence $\mathcal D(\mathrm{Frob}(\m…

math.AG2025

Unstable étale motives

Klaus Mattis

We prove a rigidity result for certain $p$ -complete étale $A^{1}$ -invariant sheaves of anima over a qcqs finite-dimensional base scheme $S$ of bounded étale cohomological…

math.AG2024

The derived $\infty$ -category of Cartier Modules

Klaus Mattis, Timo Weiß

For an endofunctor $F : C \to C$ on an ( $\infty$ -)category $C$ we define the $\infty$ -category $Cart (C, F)$ of generalized Ca…

math.AG2024

Unstable $p$ -completion in motivic homotopy theory

Klaus Mattis

We define unstable $p$ -completion in general $\infty$ -topoi and the unstable motivic homotopy category, and prove that the $p$ -completion of a nilpotent sheaf or motivic space can…

The derived ∞-category of Frobenius modules

Unstable étale motives

The derived ∞-category of Cartier Modules

Unstable p-completion in motivic homotopy theory

The derived $\infty$ -category of Frobenius modules

The derived $\infty$ -category of Cartier Modules

Unstable $p$ -completion in motivic homotopy theory