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math.AG2026
Poincaré duality in logarithmic motivic homotopy theory
Doosung Park
By adapting arguments of Annala-Hoyois-Iwasa in the log setting, we prove Poincaré duality for smooth projective morphisms in logarithmic motivic homotopy theory. As an application…
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…