Functorial Cartier Duality
نویسنده
چکیده
In this paper we obtain the Cartier duality for k-schemes of commutative monoids functorially without providing the vector spaces of functions with a topology (as in [DGr, Exposé VIIB by P. Gabriel, 2.2.1]), generalizing a result for finite commutative algebraic groups by M. Demazure & P. Gabriel ([DG, II, §1, 2.10]). All functors we consider are functors defined over the category of commutative k-algebras. Given a k-module E, we denote by E the functor of k-modules E(B) := E ⊗k B. Given two functors of k-modules F and H , Homk(F,H) will denote the functor of k-modules
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تاریخ انتشار 2008