On the formal arc space of a reductive monoid

Alexis Bouthier, Ngo Bao Chau, Yiannis Sakellaridis

Let $X$ be a scheme of finite type over a finite field $k$, and let $\mathcal{L}X$ denote its arc space; in particular, $\mathcal{L}X(k)=X(k[[t]])$. Using the theory of Grinberg,…