Klaus Mattis

collaborators

4 papers

math.AG2026

The derived $\infty$ -category of Cartier Modules

Klaus Mattis, Timo WeiÃ

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

math.AT2025

Monadic resolutions for generalized spaces

Tom Bachmann, Anton Engelmann, Klaus Mattis

We extend the work of Bousfield and Kan on monadic resolutions of spaces to $\infty$ -topoi, with applications to genuine $G$ -equivariant spaces ( $G$ a finite group) and motivic spa…

math.AG2025

The derived $\infty$ -category of Frobenius modules

Klaus Mattis, Timo WeiÃ

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

Klaus Mattis

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

The derived ∞-category of Cartier Modules

Monadic resolutions for generalized spaces

The derived ∞-category of Frobenius modules

Unstable Ã©tale motives

The derived $\infty$ -category of Cartier Modules

The derived $\infty$ -category of Frobenius modules