Splitting and making explicit the de Rham complex of the Drinfeld space

Christophe Breuil, Zicheng Qian

Let $p$ be a prime number, $K$ a finite extension of ${\mathbb{Q}}_p$ and $n$ an integer $\ge 2$. We completely and explicitly describe the global sections ${\Omega }^{\bullet }$ of the de Rha…