Families of Zero Cycles and Divided Powers: I. Representability

  • Published 2008


Let X/S be a separated algebraic space. We construct an algebraic space Γ(X/S), the space of divided powers, which parameterizes zero cycles of degree d on X. When X/S is affine, this space is affine and given by the spectrum of the ring of divided powers. In characteristic zero or when X/S is flat, the constructed space coincides with the symmetric product… (More)


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