On the nilpotent residue non-abelian Hodge correspondence for higher-dimensional quasiprojective varieties

Quoc-Anh Tran

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arXiv · 2601.15553

On the nilpotent residue non-abelian Hodge correspondence for higher-dimensional quasiprojective varieties

Quoc-Anh Tran

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Abstract

In arXiv:2408.16441, the authors proved that on a projective log smooth variety $(\bar{X}, D)$ there is a continuous bijection between the moduli space $M^{\mathrm{nilp}}_{\mathrm{Dol}}(\bar{X}, D)$ of logarithmic Higgs bundles with nilpotent residues and the moduli space $M^{\mathrm{nilp}}_{\mathrm{DR}}(\bar{X}, D)$ of logarithmic connections with nilpotent residues. In this note, we argue that the map is a homeomorphism.

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BibTeX RIS

Quoc-Anh Tran. 2026-01-22. On the nilpotent residue non-abelian Hodge correspondence for higher-dimensional quasiprojective varieties. https://arxiv.org/abs/2601.15553

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