H^ q_{\acute{e}tale}(X, \mathcal{F}) \to H^ q_{\acute{e}tale}(X_{k'}, \mathcal{F}|_{X_{k'}}) is an isomorphism for any extension k'/k of algebraically closed fields if \mathcal{F} is torsion prime to \text{char}(k),
H^ q_{\acute{e}tale}(X, \mathcal{F}) \to H^ q_{\acute{e}tale}(X_{k'}, \mathcal{F}|_{X_{k'}}) is an isomorphism for any extension k'/k of algebraically closed fields if \mathcal{F} is torsion prime to \text{char}(k),
Comments (0)