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Generic Fibers of Parahoric Hitchin Systems

Algebraic Geometry 2020-08-10 v1

Abstract

In this paper, we talk about parahoric Hitchin systems over smooth projective curves with structure group a semisimple simply connected group. We describe the geometry of generic fibers of parahoric Hitchin fibrations using root stacks. We work over an algebraically closed field with a mild assumption of the characteristic. All of these can be treated as a generalization of GLn case in [SWW19]

Keywords

Cite

@article{arxiv.2008.02899,
  title  = {Generic Fibers of Parahoric Hitchin Systems},
  author = {Bin Wang},
  journal= {arXiv preprint arXiv:2008.02899},
  year   = {2020}
}

Comments

30 pages, and comments are welcome!