On commutative diagrams consisting of low term exact sequences
Abstract
We establish several useful commutative diagrams consisting of low term exact sequences attached to spectral sequences, which extends and integrates the previous ones appeared in literature such as Alexei~N. Skorobogatov [Beyond the Manin obstruction, Invent. Math. (1999)], and [On the elementary obstruction to the existence of rational points, Mathematical Notes (2007)]. Parts of the diagrams was frequently used in local-global principle to rational points.
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