Connections on Parahoric Torsors over Curves

  • Vikraman Balaji

    Chennai Mathematical Institute, Siruseri, India
  • Indranil Biswas

    Tata Institute of Fundamental Research, Mumbai, India
  • Yashonidhi Pandey

    IISER, SAS Nagar, India

Abstract

We define parahoric -torsors for a certain class of Bruhat–Tits group schemes on a smooth complex projective curve when the weights are real, and also define connections on them. We prove that a -torsor is given by a homomorphism from to a maximal compact subgroup of , where the finite subset is the parabolic divisor, if and only if the -torsor is polystable.

Cite this article

Vikraman Balaji, Indranil Biswas, Yashonidhi Pandey, Connections on Parahoric Torsors over Curves. Publ. Res. Inst. Math. Sci. 53 (2017), no. 4, pp. 551–585

DOI 10.4171/PRIMS/53-4-3