Non-abelian Hodge theory for algebraic curves in characteristic p
arXiv:1306.0299
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.
arXiv commentThe introduction and the example for GL_n are partially rewritten. Section 3 is re-organized. Various typos are corrected. To appear in GAFA