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Abstract
We consider schemes ( X , O X ) over an abelian closed symmetric monoidal category ( C , ⊗ , 1 ) . Our aim is to extend a theorem of Kleiman on the relative Picard functor to schemes over ( C , ⊗ , 1 ) . For this purpose, we also develop some basic theory on quasi-coherent modules on schemes ( X , O X ) over C.
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