10 citations · 47 across the 17 of their papers we have counts for
4 papers · 2 filters
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…
-adic Simpson correspondences for principal bundles in abelian settings
Ben Heuer, Annette Werner, Mingjia Zhang
We explore generalizations of the -adic Simpson correspondence on smooth proper rigid spaces to principal bundles under rigid group varieties . For commutative , we prove…
A -adic Simpson correspondence for smooth proper rigid varieties
Ben Heuer
For any smooth proper rigid analytic space over a complete algebraically closed extension of , we construct a -adic Simpson correspondence: an equivalence of ca…
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.…