Lemma 1.2.1 ( [ Ful93 , 3.4] ). [04MC]

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Lemma 1.2.1 ([Ful93, 3.4]).

The following sequence

0\longrightarrow M\xrightarrow{p}\Div^{\mathbb{T}}(Z)\xrightarrow{q}\Pic(Z)\longrightarrow 0

is exact.