The relative Picard functor on schemes over a symmetric monoidal category

✍ Scribed by Abhishek Banerjee

• Publisher: Elsevier Science
• Year: 2011
• Tongue: French
• Weight: 196 KB
• Volume: 135
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/j.bulsci.2011.02.001

✦ Synopsis

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.