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On finite dimensionality of Chow groups

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Abstract

In this exposition we understand when the natural map from the two-fold self product of the Chow variety parametrizing codimension p cycles on a smooth projective variety X to the Chow group \(\mathrm{{CH}}^p(X)_0\) of degree zero cycles is surjective. We derive some consequences when the map is surjective.

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Acknowledgements

The author would like to thank the hospitality of Tata Institute Mumbai and Harish Chandra Research Institute, India, for hosting this project. The author also thanks the anonymous referee for careful reading of the manuscript and for advising the author about the improvements of certain technical points in the paper.

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  1. Harish-Chandra Research Institute, Allahabad, India

    Kalyan Banerjee

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  1. Kalyan Banerjee
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Correspondence to Kalyan Banerjee.

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Banerjee, K. On finite dimensionality of Chow groups. Beitr Algebra Geom 63, 189–207 (2022). https://doi.org/10.1007/s13366-021-00575-2

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  • DOI: https://doi.org/10.1007/s13366-021-00575-2

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