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arXiv · 2109.00850

Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves

Mao Li·Hao Sun
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Abstract

Let $G$ be a reductive group, and let $X$ be an algebraic curve over an algebraically closed field $k$ with positive characteristic. We prove a version of nonabelian Hodge correspondence for tame $G$-local systems over $X$ and logarithmic $G$-Higgs bundles over the Frobenius twist $X'$. To obtain a full description of the correspondence for the noncompact case, we introduce the language of parahoric group schemes to establish the correspondence.

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Mao Li, Hao Sun. 2024-04-24. Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves. https://arxiv.org/abs/2109.00850

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