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The Gerbe Of Higgs Bundles

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(X, T \bar{X}) which itself parametrizes T \bar{X} torsors on X. This underlying group H1(X, T \bar{X}) can be described as a generalized Prym variety, whose connected component is either an abelian variety or a degenerate abelian variety. The main part of the work deals with abstract Higgs bundles; in the last two sections we derive the applications to Higgs bundles valued in a line bundle K and to bundles on elliptic fibrations.

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  1. Department of Mathematics, University of Pennsylvania, 209 S. 33rd St., Philadelphia PA 19104, USA donagi@math.upenn.edu, , , , , , US

    R. Y. Donagi

  2. Department of Mathematic, The University of Chicago, 5734 S. University Ave., Chicago, IL 60637, USA gaitsgde@math.harvard.edu, , , , , , US

    D. Gaitsgory Gaitsgory

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  1. R. Y. Donagi
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  2. D. Gaitsgory Gaitsgory
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Donagi, R., Gaitsgory, D. The Gerbe Of Higgs Bundles. 7, 109–153 (2002). https://doi.org/10.1007/s00031-002-0008-z

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  • DOI: https://doi.org/10.1007/s00031-002-0008-z

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