5 citations · 5 across the 7 of their papers we have counts for
7 papers
Pro-étale motives and solid rigidity
Raphaël Ruimy, Swann Tubach, Sebastian Wolf
We introduce coefficient systems of pro-étale motives and pro-étale motivic spectra with coefficients in any condensed ring spectrum and show that they afford the six operations. O…
Nilpotence of in étale motivic spectra
Klaus Mattis, Swann Tubach
We show that every object of the stable étale motivic homotopy category over any scheme is -complete. In some cases we show that in fact the fourth power of is null, whereas…
Artin motives in relative Nori and Voevodsky motives
Swann Tubach
Over a scheme of finite type over a field of characteristic zero, we prove that Nori an Voevodsky categories of relative Artin motives, that is the full subcategories generated by…
Mixed Hodge modules on stacks
Swann Tubach
Using the -categorical enhancement of mixed Hodge modules constructed by the author in a previous paper, we explain how mixed Hodge modules canonically extend to algebraic…
Nori motives (and mixed Hodge modules) with integral coefficients
Raphaël Ruimy, Swann Tubach
We construct abelian categories of integral Nori motivic sheaves over a scheme of characteristic zero. The first step is to study the presentable derived category of Nori motives o…
Étale motives of geometric origin
Raphaël Ruimy, Swann Tubach
Over qcqs finite-dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full…