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The Jordan property of Cremona groups and essential dimension

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Abstract

We use a recent advance in birational geometry to prove new lower bounds on the essential dimension of some finite groups.

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Acknowledgements

The author is grateful to Alexander Duncan and Fei Hu for helpful comments.

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Authors and Affiliations

  1. Department of Mathematics, University of British Columbia, Vancouver, BC , V6T 1Z2,, Canada

    Zinovy Reichstein

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  1. Zinovy Reichstein
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Correspondence to Zinovy Reichstein.

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Partially supported by National Sciences and Engineering Research Council of Canada Discovery Grant 253424-2017.

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Reichstein, Z. The Jordan property of Cremona groups and essential dimension. Arch. Math. 111, 449–455 (2018). https://doi.org/10.1007/s00013-018-1218-5

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  • DOI: https://doi.org/10.1007/s00013-018-1218-5

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