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math.AG2024
A non-abelian version of Deligne's Fixed Part Theorem
Hélène Esnault, Moritz Kerz
We formulate and prove a non-abelian analog of Deligne's Fixed Part theorem on Hodge classes, revisiting previous work of Jost--Zuo, Katzarkov--Pantev and Landesman--Litt. To this…
math.AG2024
A remark on crystalline cohomology
Moritz Kerz, Georg Tamme
We propose a new approach to crystalline cohomology based on the observation that one can lift smooth algebras uniquely "up to coherent homotopy."