For r-small varieties the Hitchin morphism image coincides with the spectral base, strengthening the Chen-Ngô conjecture.
Generic vanishing, 1-forms, and topology of Albanese maps.Mathematische Zeitschrift, 306(56)
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The Hitchin morphism for K-trivial varieties
For r-small varieties the Hitchin morphism image coincides with the spectral base, strengthening the Chen-Ngô conjecture.