特征 p 下代数曲线的非阿贝尔霍奇理论
代数几何
2015-09-30 v3
摘要
设 G 为正特征代数闭域上的约化群。设 C 为 k 上的光滑射影曲线。我们用 C 的 Frobenius twist C' 上的 G-Higgs 丛的模空间来描述平坦 G-丛的模空间。这一描述可被视为正特征下曲线的非阿贝尔霍奇理论。
引用
@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}
}
备注
The introduction and the example for GL_n are partially rewritten. Section 3 is re-organized. Various typos are corrected. To appear in GAFA