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Class of discriminant for $\mathrm{Sp}(2n)$ Hitchin spectral covers

Algebraic Geometry 2020-05-13 v1 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

We define the universal Hitchin discriminants in the case of Sp(2n)\mathrm{Sp}(2n) Hitchin spectral covers, describe their components, and express their divisor classes in terms of standard generators of the rational Picard group of the moduli spaces of such spectral covers with variable base curve.

Keywords

Cite

@article{arxiv.2005.05644,
  title  = {Class of discriminant for $\mathrm{Sp}(2n)$ Hitchin spectral covers},
  author = {Michael Lee Baker},
  journal= {arXiv preprint arXiv:2005.05644},
  year   = {2020}
}

Comments

10 pages, 6 figures