The Hitchin morphism for K-trivial varieties
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918426798194688 |
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| author | Patel, Aryaman Weissmann, Dario |
| author_facet | Patel, Aryaman Weissmann, Dario |
| contents | 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 Ngô 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03217 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Hitchin morphism for K-trivial varieties Patel, Aryaman Weissmann, Dario Algebraic Geometry 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 Ngô 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. |
| title | The Hitchin morphism for K-trivial varieties |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2604.03217 |