Non-abelian Hodge theory for algebraic curves in characteristic p

Tsao-Hsien Chen, Xinwen Zhu*

*Corresponding author for this work

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Let G be a reductive group over an algebraically closed field of positive characteristic. Let C be a smooth projective curve over k. We give a description of the moduli space of flat G-bundles in terms of the moduli space of G-Higgs bundles over the Frobenius twist C′ of C. This description can be regarded as the non-abelian Hodge theory for curves in positive characteristic.

Original languageEnglish (US)
Pages (from-to)1706-1733
Number of pages28
JournalGeometric and Functional Analysis
Volume25
Issue number6
DOIs
StatePublished - Dec 1 2015

ASJC Scopus subject areas

  • Geometry and Topology
  • Analysis

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