Appendix: E-polynomials, Zeta-equivalence, and Polynomial-count Varieties
نویسنده
چکیده
For any ring homomorphism R −→ R′ of noetherian rings, the “extension of scalars” morphism from (Sch/R) to (Sch/R′) which sends X/R to X ⊗R R′/R′, extends to a group homomorphism from K0(Sch/R) to K0(Sch/R). Suppose A is an abelian group, and ρ is an “additive function” from (Sch/R) to A, i.e., a rule which assigns to each X ∈ (Sch/R) an element ρ(X) ∈ A, such that ρ(X) depends only on the isomorphism class of X, and such that whenever Z ⊂ X is a closed subscheme, we have ρ(X) = ρ(X − Z) + ρ(Z).
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