5 citations · 8 across the 3 of their papers we have counts for
5 papers · 1 filter
-adic non-abelian Hodge theory for curves via moduli stacks
Ben Heuer, Daxin Xu
For a smooth projective curve over and any reductive group , we show that the moduli stack of -Higgs bundles on is a twist of the moduli stack of v-topo…
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…
Pro-étale uniformisation of abelian varieties
Ben Heuer
For an abelian variety over an algebraically closed non-archimedean field of residue characteristic , we show that the isomorphism class of the pro-étale perfectoid cove…