Tubular neighborhoods of local models
Tubular neighborhoods of local models
We show that the v-sheaf local models of Scholze and Weinstein are unibranch. In particular, this proves that the scheme-theoretic local models defined in Anschütz, Gleason, Lourenço, and Richarz are always normal with reduced special fiber, thereby establishing the remaining cases of the geometric part of the Scholze–Weinstein conjecture when …