A Dg Guide to Voevodsky’s Motives
نویسندگان
چکیده
Let Var be the category of complex algebraic varieties, Top that of nice topological spaces, Dab be the derived category of finite complexes of finitely generated abelian groups. One has tensor functors Var → Top → Dab, the first assigns to a variety its space equipped with the classical topology, the second one is the singular chain complex functor (the tensor structure for the first two categories is given by the direct product). The basic objective of the motive theory is to fill in a commutative square
منابع مشابه
A DG GUIDE TO VOEVODSKY’S MOTIVES A. Beilinson and V. Vologodsky
Let Var be the category of complex algebraic varieties, Top that of nice topological spaces, Dab be the derived category of finite complexes of finitely generated abelian groups. One has tensor functors Var → Top → Dab, the first assigns to a variety its space equipped with the classical topology, the second one is the singular chain complex functor (the tensor structure for the first two categ...
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تاریخ انتشار 2006