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The relative Picard functor on schemes over a symmetric monoidal category
Authors:Abhishek Banerjee
Affiliation:Department of Mathematics, Ohio State University, 231 W 18th Ave, 100 Math Tower, Columbus, OH 43210, USA
Abstract:We consider schemes (X,OX) 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,OX) over C.
Keywords:MSC: 14K30   18D10
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