The Hitchin morphism for K-trivial varieties
Algebraic Geometry
2026-04-06 v1
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.
Cite
@article{arxiv.2604.03217,
title = {The Hitchin morphism for K-trivial varieties},
author = {Aryaman Patel and Dario Weissmann},
journal= {arXiv preprint arXiv:2604.03217},
year = {2026}
}