3 papers
math.AG2026
On the -adic deformation problem for the -theory of semistable schemes
Federico Binda, Tommy Lundemo, Alberto Merici +1
We establish a semistable generalization of the Beilinson-Bloch-Esnault-Kerz fiber square, relating the algebraic K-theory of a semistable scheme to its logarithmic topological cyc…
math.AT2025
On the Residue Sequence in Logarithmic Topological Cyclic Homology
Tommy Lundemo
As a localizing invariant, THH participates in localization sequences of cyclotomic spectra. We resolve a conjecture of Rognes by relating these to residue sequences in logarithmic…
math.AG2024
Logarithmic TC via the Infinite Root Stack and the Beilinson Fiber Square
Federico Binda, Tommy Lundemo, Alberto Merici +1
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 cota…