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Irrationality of Motivic series of Chow varieties

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Abstract

In this paper we extend the Euler–Chow series for Chow varieties to Chow motives. In both series it is very natural to ask when the series is rational. We give an example where the extended series is not rational.

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Authors and Affiliations

  1. Instituto de Matemáticas, Ciudad Universitaria, UNAM, Mexico DF, Mexico

    E. Javier Elizondo

  2. Department of Mathematics, Faculty of Science, Hiroshima University, East Hiroshima, 739, Japan

    Shun-Ichi Kimura

Authors
  1. E. Javier Elizondo
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  2. Shun-Ichi Kimura
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Correspondence to E. Javier Elizondo.

Additional information

Partially supported by program JSPS-CONCYT.

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Elizondo, E.J., Kimura, SI. Irrationality of Motivic series of Chow varieties. Math. Z. 263, 27–32 (2009). https://doi.org/10.1007/s00209-008-0408-4

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  • DOI: https://doi.org/10.1007/s00209-008-0408-4

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