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math.AG2026
Twisting Higgs Modules and Functorial Aspects of the p-adic Simpson Correspondence
Ahmed Abbes, Michel Gros, Takeshi Tsuji
The classical Simpson correspondence describes complex linear representations of the fundamental group of a smooth complex projective variety in terms of linear algebra objects, na…
math.AG2025
Prismatic cohomology and -cohomology with coefficients
Takeshi Tsuji
For a smooth -adic formal scheme over the ring of integers of a perfectoid field of mixed characteristic containing all -power roots of unity, we prove that the prism…
math.AG2024
Prismatic crystals and -Higgs fields
Takeshi Tsuji
Similarly to the theory of crystalline cohomology, we give a local description of a prismatic crystal and its cohomology in terms of a -Higgs module and the associated -Higgs…