 the category $\operatorname{Tors}^{n}({\ensuremath{\mathcal{X}}}/Z,(A,\tau))$. Taking connected components we obtain the set $$\operatorname{Tors}^{n}[Z,A]=\pi_{0}\operatorname{Tors}^{n}(Z,A)$$ of equivalence classes of $n$-torsors of $Z$ by $A$