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The motive of the moduli stack of G-bundles over the universal curve

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Abstract

We define relative motives in the sense of André. After associating a complex in the derived category of motives to an algebraic stack we study this complex in the case of the moduli of G-bundles varying over the moduli of curves.

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Authors and Affiliations

  1. Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Donu Arapura

  2. Department of Mathematics, University of Western Ontario, London, Ontario, Canada

    Ajneet Dhillon

Authors
  1. Donu Arapura
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  2. Ajneet Dhillon
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Correspondence to Donu Arapura.

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Arapura, D., Dhillon, A. The motive of the moduli stack of G-bundles over the universal curve. Proc Math Sci 118, 389–411 (2008). https://doi.org/10.1007/s12044-008-0031-7

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  • DOI: https://doi.org/10.1007/s12044-008-0031-7

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