Non-abelian Hodge theory for algebraic curves in characteristic p
Algebraic Geometry
2015-09-30 v3
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.
Keywords
Cite
@article{arxiv.1306.0299,
title = {Non-abelian Hodge theory for algebraic curves in characteristic p},
author = {Tsao-Hsien Chen and Xinwen Zhu},
journal= {arXiv preprint arXiv:1306.0299},
year = {2015}
}
Comments
The introduction and the example for GL_n are partially rewritten. Section 3 is re-organized. Various typos are corrected. To appear in GAFA