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Periodicity of Hitchin's uniformizing Higgs bundles

Algebraic Geometry 2022-10-04 v2

Abstract

We link the periodicity of Hitchin's uniformizing Higgs bundle with the arithmetic geometry of its underlying curve. Some new relations are discovered. We also speculate on the whole class of periodic Higgs bundles.

Keywords

Cite

@article{arxiv.2011.03272,
  title  = {Periodicity of Hitchin's uniformizing Higgs bundles},
  author = {Raju Krishnamoorthy and Mao Sheng},
  journal= {arXiv preprint arXiv:2011.03272},
  year   = {2022}
}

Comments

32 pages. This is the second version. Comments are very welcome!