Nonlinear Hodge correspondence in positive characteristic

2025/10/07 by Sheng, Mao
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.05578

Abstract

In this article, we extend the nonabelian Hodge correspondence in positive characteristic to the nonlinear setting.

Citations

• A Nonabelian Hodge Correspondence for Principal Bundles in Positive Characteristic
• Nonabelian Hodge theory in positive characterstic via exponential twisting
• Semistable Higgs bundles, periodic Higgs bundles and representations of algebraic fundamental groups
• Nonabelian Hodge Theory in Characteristic p
• Construction of Hilbert and Quot Schemes
• The Hodge filtration on nonabelian cohomology

Related

• Nonlinear Harmonic Bundles
• Tame Parahoric Nonabelian Hodge Correspondence in Positive Characteristic over Algebraic Curves
• A Nonabelian Hodge Correspondence for Principal Bundles in Positive Characteristic
• An explicit infinite homotopy in nonabelian Hodge theory in positive characteristic
• Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases