34 citations · 118 across the 26 of their papers we have counts for
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math.AG2023
The Lichtenbaum-Quillen dimension of complex varieties
Nicolas Addington, Elden Elmanto
The Lichtenbaum-Quillen conjecture for smooth complex varieties states that algebraic and topological K-theory with finite coefficients become isomorphic in high degrees. We define…
math.KT2023
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…
math.KT2023
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…