Irrationality of Motivic series of Chow varieties
نویسندگان
چکیده
منابع مشابه
Irrationality of Motivic Series of Chow Varieties
The Euler characteristic of all the Chow varieties, of a fixed projective variety, can be collected in a formal power series called the Euler-Chow series. This series coincides with the Hilbert series when the Picard group is a finite generated free abelian group. It is an interesting open problem to find for which varieties this series is rational. A few cases have been computed, and it is sus...
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متن کاملRationality of Motivic Chow Series modulo a 1-homotopy E. Javier Elizondo and Shun-ichi Kimura
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 ra...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2008
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-008-0408-4