3 problems

Pflueger's Brill–Noether conjecture. Analogues of the Brill–Noether theorem should hold for the transmission locus $W^{\tau}(C,p,q)$. Pflueger's conjecture proposes that the expect…

Conjecture. Every bounded subgroup containing an Iwahori subgroup can be realized as a unit group arising from a finite Galois cover of

Let $U\subset\mathbb{P}^1_{\mathbb{Z}}$ be a nonempty open subscheme. For a connected finite étale cover $\pi\colon V\to U_{\mathbb{Z}[1/\ell]}$, let $X_V$ be the normalization of…