Rationality of Motivic Chow Series modulo a 1-homotopy E. Javier Elizondo and Shun-ichi Kimura
نویسنده
چکیده
Consider the formal power series P [Cp,α(X)]t α (called Motivic Chow Series), where Cp(X) = ∐Cp,α(X) is the Chow variety of X parametrizing the p-dimensional effective cycles on X with Cp,α(X) its connected components, and [Cp,α(X)] its class in K(ChM)A1 , the K-ring of Chow motives modulo A homotopy. Using Picard product formula and Torus action, we will show that the Motivic Chow Series is rational in many cases.
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