• Corpus ID: 211677566

Reduction theory for connections over the formal punctured disc

@article{Herrero2020ReductionTF,
  title={Reduction theory for connections over the formal punctured disc},
  author={Andres Fernandez Herrero},
  journal={arXiv: Algebraic Geometry},
  year={2020}
}
We give a purely algebraic treatment of reduction theory for connections over the formal punctured disc. Our proofs apply to arbitrary connected linear algebraic groups over an algebraically closed field of characteristic 0. We also state and prove some new quantitative results. 
Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves
  • Mao Li, Hao Sun
  • Mathematics
  • 2021
Let G be a reductive group, and let X be an algebraic curve over an algebraically closed field k with positive characteristic. We prove a version of nonabelian Hodge correspondence for Glocal systems

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