2024/08/28 by Binda, Federico, Lundemo, Tommy, Merici, Alberto +1
#13D03 #14A21 #14F30 #14F40 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · doi:10.48550/arxiv.2408.15627
We apply our previous results on ``saturated descent'' to express a wide range of logarithmic cohomology theories in terms of the infinite root stack. Examples include the log cotangent complex, Rognes' log topological cyclic homology, and Nygaard-complete log prismatic cohomology. As applications, we show that the Nygaard-completion of the site-theoretic log prismatic cohomology coincides with the definition arising from log \rm TC, and we establish a log version of the \rm TC-variant of the Beilinson fiber square of Antieau--Mathew--Morrow--Nikolaus.