On properness of moduli stacks of $D^{\times }$-shtukas over ramified legs

Yong-Gyu Choi, Wansu Kim, Junyeong Park

Given a maximal order $\mathcal{D}$ of a central division algebra $D$ over a global function field $F$, we prove an explicit sufficient condition for moduli stacks of $\mathcal{D}^…