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math.AG2023
Spectral weight filtrations
Peter J. Haine, Piotr Pstrągowski
We provide a description of Voevodsky's -category of motivic spectra in terms of the subcategory of motives of smooth proper varieties. As applications, we construct weight…
math.AG2023
Nonabelian basechange theorems & étale homotopy theory
Peter J. Haine, Tim Holzschuh, Sebastian Wolf
This paper has two main goals. First, we prove nonabelian refinements of basechange theorems in étale cohomology (i.e., prove analogues of the classical statements for sheaves of s…