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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.AG2023
Absolute calculus and prismatic crystals on cyclotomic rings
Michel Gros, Bernard Le Stum, Adolfo Quirós
Let be a prime, the ring of Witt vectors of a perfect field of characteristic and a primitive th root of unity. We introduce a new notion of calculus over $W…
math.AG2022★ 1 cited
Cartier transform and prismatic crystals
Michel Gros, Bernard Le Stum, Adolfo Quirós
We show that the abstract equivalence of categories, called Cartier transform, between crystals on the q-crystalline and prismatic sites can be locally identified with the explicit…