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arXiv · 2604.03217

The Hitchin morphism for K-trivial varieties

Aryaman Patel·Dario Weissmann
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Abstract

We study the Hitchin morphism for higher dimensional varieties and show that, for a certain class of varieties which we call r-small, the set-theoretic image of the Hitchin morphism from the Dolbeault moduli space coincides with the spectral base. In other words, a stronger version of the conjecture of Chen and Ng\^o holds for this class of varieties, which includes K-trivial varieties. As part of the proof, we slightly modify the construction of spectral covers to obtain normal spectral covers.

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Aryaman Patel, Dario Weissmann. 2026-04-03. The Hitchin morphism for K-trivial varieties. https://arxiv.org/abs/2604.03217

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