Let $\alpha$ be a differential form on an open subset $V$ of ${X^{\rm an}}$. The support of $\alpha$ is the complement in $V$ of the set of points $x$ of $V$ which have an open neighbourhood $V_{x}$ such that $\alpha|_{V_{x}}=0$. Let $A_{c}^{p,q}(V)$ be the space of differential forms of bidegree $(p,q)$ with compact support in $V$.