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arXiv · 2609.06933

Cyclic Spectral Data

Hao Sun
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Abstract

In this paper, we study cyclic spectral data on smooth varieties over an algebraically closed field in characteristic zero. We show that the Hitchin fiber of any nonzero cyclic spectral data is non-empty. We also construct sections of the Hitchin morphism for cyclic spectral data and tautological (flat) families of cyclic spectral covers.

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Hao Sun. 2026-09-07. Cyclic Spectral Data. https://arxiv.org/abs/2609.06933

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