Let k be a field. Let A = k[x]. Show that X = \mathop{\mathrm{Spec}}(A) has only trivial invertible {\mathcal O}_ X-modules. In other words, show that every invertible A-module is free of rank 1.
Let k be a field. Let A = k[x]. Show that X = \mathop{\mathrm{Spec}}(A) has only trivial invertible {\mathcal O}_ X-modules. In other words, show that every invertible A-module is free of rank 1.
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