AbstractLet X be a projective manifold. The Hitchin morphism is a map from the moduli stack of Higgsbundles over X to the Hitchin base, which sends a Higgs bundle to its characteristic polynomial. lfX is a curve, it is well-known that the Hitchin morphism is surjective and it plays an important rolein the study of the moduli space of Higgs bundles. However, if X has dimension at least two, theH...
Abstract：The Hitchin morphism is a map from the moduli space of Higgs bundles to the Hitchin base, which is generally not surjective when the dimension of the variety is greater than one. Chen-Ngo introduced the concept of the spectral base, which is a closed subscheme of the Hitchin base. They conjectured that the Hitchin morphism is surjective to the spectral base and also proved that the su...
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