Change of Coefficients for Drinfeld Modules, Shtuka, and Abelian Sheaves

Details Change of Coefficients for Drinfeld Modules, Shtuka, and Abelian Sheaves Change of Coefficients for Drinfeld Modules, Shtuka, and Abelian Sheaves

2006-08-10

arxiv.org/abs/math/0608256v1

Mathematics

Number Theory

16 pages

Scientific paper

We study the passage from Drinfeld-A'-modules to Drinfeld-A-modules for a given finite flat inclusion A \subset A'. We show that this defines a morphism from the moduli space of Drinfeld-A'-modules to the moduli space of Drinfeld-A-modules which is proper but in general not representable. For Drinfeld-Anderson shtuka and abelian sheaves instead of Drinfeld modules we obtain the same results.

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