7 citations · 9 across the 10 of their papers we have counts for
4 papers · 1 filter
Mod sheaves on Witt flags
Robert Cass, João Lourenço
We characterize Cohen--Macaulay and -rational perfect schemes in terms of their perverse étale mod sheaves. Using inversion of adjunction, we prove that sufficiently small S…
Tubular neighborhoods of local models
Ian Gleason, João Lourenço
We show that the v-sheaf local models of moduli spaces of -adic shtukas are unibranch. In particular, this proves that the scheme-theoretic local models defined in our joint wor…
On the -adic theory of local models
Johannes Anschütz, Ian Gleason, João Lourenço +1
We prove the Scholze--Weinstein conjecture on the existence and uniqueness of local models for local Shimura varieties, as well as the test function conjecture of Haines--Kottwitz…
The Riemannian Hebbarkeitssätze for pseudorigid spaces
João N. P. Lourenço
We prove Riemann's theorems on extensions of functions over certain mixed characteristic analytic adic spaces, first introduced by Johansson and Newton. We use these results to rep…