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math.KT2026
Motivic cohomology of equicharacteristic schemes
Elden Elmanto, Matthew Morrow
We construct a theory of motivic cohomology for quasi-compact, quasi-separated schemes of equal characteristic, which is related to non-connective algebraic -theory via an Atiya…
math.KT2025
-invariant motivic cohomology of schemes
Tom Bachmann, Elden Elmanto, Matthew Morrow
Voevodsky outlined a conjectural programme that his slice filtration in motivic homotopy theory should give rise to a good theory of -invariant motivic cohomology. Th…
math.KT2025
The motivic Adams conjecture
Alexey Ananyevskiy, Elden Elmanto, Oliver Röndigs +1
We solve a motivic version of the Adams conjecture with the exponential characteristic of the base field inverted. In the way of the proof we obtain a motivic version of mod k Dold…