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arXiv · 2610.38958

Compactification of parabolic Hermitian--Einstein moduli spaces on complex surfaces

Xilun Li·Gang Tian
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Abstract

Let $\overline{X}$ be a compact complex surface with a Gauduchon metric, and let $D\subset\overline{X}$ be a smooth connected divisor. We construct an Uhlenbeck compactification of the moduli space of rank-two parabolic Hermitian--Einstein connections with prescribed holomorphic determinant.

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Xilun Li, Gang Tian. 2026-10-28. Compactification of parabolic Hermitian--Einstein moduli spaces on complex surfaces. https://arxiv.org/abs/2610.38958

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