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PreprintarXiv licencearXiv

Cyclic Spectral Data

  • Hao Sun
Open at sourcePDFDOICite

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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Cite

BibTeXRIS
BibTeX
@misc{sun2026cyclic,
  title = {{Cyclic Spectral Data}},
  author = {Hao Sun},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.06933},
  eprint = {2609.06933},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.06933},
}
RIS
TY  - UNPB
TI  - Cyclic Spectral Data
AU  - Hao Sun
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.06933
UR  - https://arxiv.org/abs/2609.06933
AB  - 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.
ER  -