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Results tagged with duality
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user 114159
Use for questions regarding duality of mathematical object, i.e. dual spaces, objects with two possible interpretations etc.
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Exactness of a term after taking Pontryagin dual: a step in the proof of Poitou-Tate duality
I'm reading the proof of Poitou-Tate duality in the book Galois Cohomology and Class Field Theory by David Harari. … 1_S(k,M^{'})$ is defined as the kernel of $ H^1(G_S,M^{'})\to \mathbf{P}^1_S(k,M^{'})$, that is, we have $$0 \to Ш^1_S(k,M^{'})\to H^1(G_S,M^{'})\to \mathbf{P}^1_S(k,M^{'})$$
After taking Pontryagin duality …
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