Showing math.AGShow all
3 papers · 1 filter
math.AG2026
Motivic Hochschild homology of mod 2 motivic cohomology over algebraically closed fields
Tom Bachmann, Robert Burklund, Bjørn Ian Dundas +1
We compute the tensor of the multiplicative group scheme with the mod- motivic cohomology spectrum in normed motivic spectra over the complex numbers, and find that the resultin…
math.AG2025
Motivic stable stems and Galois approximations of cellular motivic categories
Tom Bachmann, Robert Burklund, Zhouli Xu
We reconstruct (appropriately completed) categories of cellular motivic spectra over fields of small cohomological dimension in terms of only their absolute Galois groups. As our m…
math.AG2024
Strongly A^1-invariant sheaves (after F. Morel)
Tom Bachmann
Strongly (respectively strictly) A1-invariant sheaves are foundational for motivic homotopy theory over fields. They are sheaves of (abelian) groups on the Nisnevich site of smooth…