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math.AG2023
The small -adic Simpson correspondence in terms of moduli spaces
Johannes Anschütz, Ben Heuer, Arthur-César Le Bras
For any rigid space over a perfectoid extension of that admits a liftable smooth formal model, we construct an isomorphism between the moduli stacks of Hitchin-small…
math.AG2023★ 1 cited
Hodge-Tate stacks and non-abelian -adic Hodge theory of v-perfect complexes on rigid spaces
Johannes Anschütz, Ben Heuer, Arthur-César Le Bras
Let be a quasi-compact quasi-separated -adic formal scheme that is smooth either over a perfectoid -algebra or over some ring of integers of a -adic field.…