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Stable Higgs bundles with trivial Chern classes. Several examples

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Abstract

We propose a new interpretation of Higgs bundles as vector bundles together with actions of the symmetric tangent tensor algebra. Via this interpretation, we construct new nontrivial examples of stable Higgs bundles with vanishing Chern classes.

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Authors and Affiliations

  1. School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, 153-8902, Tokyo, Japan

    Yoichi Miyaoka

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  1. Yoichi Miyaoka
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To the memory of Professor V.A. Iskovskikh

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Miyaoka, Y. Stable Higgs bundles with trivial Chern classes. Several examples. Proc. Steklov Inst. Math. 264, 123–130 (2009). https://doi.org/10.1134/S0081543809010155

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  • DOI: https://doi.org/10.1134/S0081543809010155

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