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math.AG2018
The arc-topology
Bhargav Bhatt, Akhil Mathew
We study a Grothendieck topology on schemes which we call the -topology. This topology is a refinement of the -topology (the pro-version of Voevodsky's -topolog…
math.AG2018
Revisiting the de Rham-Witt complex
Bhargav Bhatt, Jacob Lurie, Akhil Mathew
The goal of this paper is to offer a new construction of the de Rham-Witt complex of smooth varieties over perfect fields of characteristic . We introduce a category of cochai…
math.KT2018
K-theory and topological cyclic homology of henselian pairs
Dustin Clausen, Akhil Mathew, Matthew Morrow
Given a henselian pair of commutative rings, we show that the relative -theory and relative topological cyclic homology with finite coefficients are identified via the…